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Finding the Fourth Proportional to 74,397.89, 102,669.93 and 40,406.78

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Solution

The fourth proportional to 74,397.89, 102,669.93 and 40,406.78 is: 55,761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,397.89 : 102,669.93 = 40,406.78 : x
  2. Step 2: Convert to fraction form
    74,397.89/102,669.93 = 40,406.78/x
  3. Step 3: Cross multiply
    74,397.89x = 102,669.93 × 40,406.78
  4. Step 4: Simplify right side
    74,397.89x = 4,148,561,530.80
  5. Step 5: Solve for x
    x = 4,148,561,530.80/74,397.89
  6. Step 6: Final answer
    x = 55,761.82

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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.