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Finding the Fourth Proportional to 83,882.59, 115,728.35 and 47,578.79

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Solution

The fourth proportional to 83,882.59, 115,728.35 and 47,578.79 is: 65,641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,882.59 : 115,728.35 = 47,578.79 : x
  2. Step 2: Convert to fraction form
    83,882.59/115,728.35 = 47,578.79/x
  3. Step 3: Cross multiply
    83,882.59x = 115,728.35 × 47,578.79
  4. Step 4: Simplify right side
    83,882.59x = 5,506,214,913.12
  5. Step 5: Solve for x
    x = 5,506,214,913.12/83,882.59
  6. Step 6: Final answer
    x = 65,641.93

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1.5x scale

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.