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Finding the Fourth Proportional to 125,165, 187,789.40 and 40,929.04

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Solution

The fourth proportional to 125,165, 187,789.40 and 40,929.04 is: 61,407.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,165 : 187,789.40 = 40,929.04 : x
  2. Step 2: Convert to fraction form
    125,165/187,789.40 = 40,929.04/x
  3. Step 3: Cross multiply
    125,165x = 187,789.40 × 40,929.04
  4. Step 4: Simplify right side
    125,165x = 7,686,039,864.18
  5. Step 5: Solve for x
    x = 7,686,039,864.18/125,165
  6. Step 6: Final answer
    x = 61,407.26

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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.