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Finding the Fourth Proportional to 83,207.67, 124,810.35 and 77,888.65

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Solution

The fourth proportional to 83,207.67, 124,810.35 and 77,888.65 is: 116,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,207.67 : 124,810.35 = 77,888.65 : x
  2. Step 2: Convert to fraction form
    83,207.67/124,810.35 = 77,888.65/x
  3. Step 3: Cross multiply
    83,207.67x = 124,810.35 × 77,888.65
  4. Step 4: Simplify right side
    83,207.67x = 9,721,309,667.53
  5. Step 5: Solve for x
    x = 9,721,309,667.53/83,207.67
  6. Step 6: Final answer
    x = 116,831.89

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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.