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Finding the Fourth Proportional to 85,311.30, 127,966.94 and 45,814.08

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Solution

The fourth proportional to 85,311.30, 127,966.94 and 45,814.08 is: 68,721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,311.30 : 127,966.94 = 45,814.08 : x
  2. Step 2: Convert to fraction form
    85,311.30/127,966.94 = 45,814.08/x
  3. Step 3: Cross multiply
    85,311.30x = 127,966.94 × 45,814.08
  4. Step 4: Simplify right side
    85,311.30x = 5,862,687,397.44
  5. Step 5: Solve for x
    x = 5,862,687,397.44/85,311.30
  6. Step 6: Final answer
    x = 68,721.11

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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.