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Finding the Fourth Proportional to 103,687.76, 155,531.37 and 41,402

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Solution

The fourth proportional to 103,687.76, 155,531.37 and 41,402 is: 62,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,687.76 : 155,531.37 = 41,402 : x
  2. Step 2: Convert to fraction form
    103,687.76/155,531.37 = 41,402/x
  3. Step 3: Cross multiply
    103,687.76x = 155,531.37 × 41,402
  4. Step 4: Simplify right side
    103,687.76x = 6,439,309,780.74
  5. Step 5: Solve for x
    x = 6,439,309,780.74/103,687.76
  6. Step 6: Final answer
    x = 62,102.89

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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.