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Finding the Fourth Proportional to 102,721, 141,766.50 and 58,011.88

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Solution

The fourth proportional to 102,721, 141,766.50 and 58,011.88 is: 80,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,721 : 141,766.50 = 58,011.88 : x
  2. Step 2: Convert to fraction form
    102,721/141,766.50 = 58,011.88/x
  3. Step 3: Cross multiply
    102,721x = 141,766.50 × 58,011.88
  4. Step 4: Simplify right side
    102,721x = 8,224,141,186.02
  5. Step 5: Solve for x
    x = 8,224,141,186.02/102,721
  6. Step 6: Final answer
    x = 80,062.90

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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.