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Finding the Fourth Proportional to 125,712,005.10, 188,568,007.65 and 125,712,005.10

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Solution

The fourth proportional to 125,712,005.10, 188,568,007.65 and 125,712,005.10 is: 188,568,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,712,005.10 : 188,568,007.65 = 125,712,005.10 : x
  2. Step 2: Convert to fraction form
    125,712,005.10/188,568,007.65 = 125,712,005.10/x
  3. Step 3: Cross multiply
    125,712,005.10x = 188,568,007.65 × 125,712,005.10
  4. Step 4: Simplify right side
    125,712,005.10x = 23,705,262,339,393,640
  5. Step 5: Solve for x
    x = 23,705,262,339,393,640/125,712,005.10
  6. Step 6: Final answer
    x = 188,568,007.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.