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Finding the Fourth Proportional to 83,127.74, 114,687.84 and 47,308.76

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Solution

The fourth proportional to 83,127.74, 114,687.84 and 47,308.76 is: 65,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,127.74 : 114,687.84 = 47,308.76 : x
  2. Step 2: Convert to fraction form
    83,127.74/114,687.84 = 47,308.76/x
  3. Step 3: Cross multiply
    83,127.74x = 114,687.84 × 47,308.76
  4. Step 4: Simplify right side
    83,127.74x = 5,425,739,497.48
  5. Step 5: Solve for x
    x = 5,425,739,497.48/83,127.74
  6. Step 6: Final answer
    x = 65,269.90

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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.