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Finding the Fourth Proportional to 83,065.86, 124,627.95 and 51,864.66

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Solution

The fourth proportional to 83,065.86, 124,627.95 and 51,864.66 is: 77,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,065.86 : 124,627.95 = 51,864.66 : x
  2. Step 2: Convert to fraction form
    83,065.86/124,627.95 = 51,864.66/x
  3. Step 3: Cross multiply
    83,065.86x = 124,627.95 × 51,864.66
  4. Step 4: Simplify right side
    83,065.86x = 6,463,786,253.25
  5. Step 5: Solve for x
    x = 6,463,786,253.25/83,065.86
  6. Step 6: Final answer
    x = 77,815.20

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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.