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Finding the Fourth Proportional to 96,315, 132,914.70 and 62,781

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Solution

The fourth proportional to 96,315, 132,914.70 and 62,781 is: 86,637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,315 : 132,914.70 = 62,781 : x
  2. Step 2: Convert to fraction form
    96,315/132,914.70 = 62,781/x
  3. Step 3: Cross multiply
    96,315x = 132,914.70 × 62,781
  4. Step 4: Simplify right side
    96,315x = 8,344,517,780.70
  5. Step 5: Solve for x
    x = 8,344,517,780.70/96,315
  6. Step 6: Final answer
    x = 86,637.78

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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.