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Finding the Fourth Proportional to 74,187.65, 102,414.44 and 42,350.40

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Solution

The fourth proportional to 74,187.65, 102,414.44 and 42,350.40 is: 58,463.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,187.65 : 102,414.44 = 42,350.40 : x
  2. Step 2: Convert to fraction form
    74,187.65/102,414.44 = 42,350.40/x
  3. Step 3: Cross multiply
    74,187.65x = 102,414.44 × 42,350.40
  4. Step 4: Simplify right side
    74,187.65x = 4,337,292,499.78
  5. Step 5: Solve for x
    x = 4,337,292,499.78/74,187.65
  6. Step 6: Final answer
    x = 58,463.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.