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Finding the Fourth Proportional to 206,281.36, 309,210.36 and 117,345.52

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Solution

The fourth proportional to 206,281.36, 309,210.36 and 117,345.52 is: 175,897.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,281.36 : 309,210.36 = 117,345.52 : x
  2. Step 2: Convert to fraction form
    206,281.36/309,210.36 = 117,345.52/x
  3. Step 3: Cross multiply
    206,281.36x = 309,210.36 × 117,345.52
  4. Step 4: Simplify right side
    206,281.36x = 36,284,450,483.59
  5. Step 5: Solve for x
    x = 36,284,450,483.59/206,281.36
  6. Step 6: Final answer
    x = 175,897.86

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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.