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Finding the Fourth Proportional to 83,115.25, 114,699.68 and 45,389.50

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Solution

The fourth proportional to 83,115.25, 114,699.68 and 45,389.50 is: 62,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,115.25 : 114,699.68 = 45,389.50 : x
  2. Step 2: Convert to fraction form
    83,115.25/114,699.68 = 45,389.50/x
  3. Step 3: Cross multiply
    83,115.25x = 114,699.68 × 45,389.50
  4. Step 4: Simplify right side
    83,115.25x = 5,206,160,898.41
  5. Step 5: Solve for x
    x = 5,206,160,898.41/83,115.25
  6. Step 6: Final answer
    x = 62,637.85

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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.