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Finding the Fourth Proportional to 83,515.86, 115,186.86 and 51,702.30

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Solution

The fourth proportional to 83,515.86, 115,186.86 and 51,702.30 is: 71,308.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,515.86 : 115,186.86 = 51,702.30 : x
  2. Step 2: Convert to fraction form
    83,515.86/115,186.86 = 51,702.30/x
  3. Step 3: Cross multiply
    83,515.86x = 115,186.86 × 51,702.30
  4. Step 4: Simplify right side
    83,515.86x = 5,955,425,591.78
  5. Step 5: Solve for x
    x = 5,955,425,591.78/83,515.86
  6. Step 6: Final answer
    x = 71,308.92

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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.