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Finding the Fourth Proportional to 74,344.92, 102,593.70 and 40,351.80

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Solution

The fourth proportional to 74,344.92, 102,593.70 and 40,351.80 is: 55,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,344.92 : 102,593.70 = 40,351.80 : x
  2. Step 2: Convert to fraction form
    74,344.92/102,593.70 = 40,351.80/x
  3. Step 3: Cross multiply
    74,344.92x = 102,593.70 × 40,351.80
  4. Step 4: Simplify right side
    74,344.92x = 4,139,840,463.66
  5. Step 5: Solve for x
    x = 4,139,840,463.66/74,344.92
  6. Step 6: Final answer
    x = 55,684.24

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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.