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Finding the Fourth Proportional to 125,297, 188,038.90 and 50,417.78

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Solution

The fourth proportional to 125,297, 188,038.90 and 50,417.78 is: 75,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,297 : 188,038.90 = 50,417.78 : x
  2. Step 2: Convert to fraction form
    125,297/188,038.90 = 50,417.78/x
  3. Step 3: Cross multiply
    125,297x = 188,038.90 × 50,417.78
  4. Step 4: Simplify right side
    125,297x = 9,480,503,891.64
  5. Step 5: Solve for x
    x = 9,480,503,891.64/125,297
  6. Step 6: Final answer
    x = 75,664.25

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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.