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Finding the Fourth Proportional to 83,207.92, 124,810.72 and 77,888.90

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Solution

The fourth proportional to 83,207.92, 124,810.72 and 77,888.90 is: 116,832.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,207.92 : 124,810.72 = 77,888.90 : x
  2. Step 2: Convert to fraction form
    83,207.92/124,810.72 = 77,888.90/x
  3. Step 3: Cross multiply
    83,207.92x = 124,810.72 × 77,888.90
  4. Step 4: Simplify right side
    83,207.92x = 9,721,369,689.01
  5. Step 5: Solve for x
    x = 9,721,369,689.01/83,207.92
  6. Step 6: Final answer
    x = 116,832.26

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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.