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Finding the Fourth Proportional to 74,381.46, 102,646.41 and 40,389.78

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Solution

The fourth proportional to 74,381.46, 102,646.41 and 40,389.78 is: 55,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,381.46 : 102,646.41 = 40,389.78 : x
  2. Step 2: Convert to fraction form
    74,381.46/102,646.41 = 40,389.78/x
  3. Step 3: Cross multiply
    74,381.46x = 102,646.41 × 40,389.78
  4. Step 4: Simplify right side
    74,381.46x = 4,145,865,917.69
  5. Step 5: Solve for x
    x = 4,145,865,917.69/74,381.46
  6. Step 6: Final answer
    x = 55,737.89

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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.