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Finding the Fourth Proportional to 82,892.56, 124,339.70 and 66,357.70

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Solution

The fourth proportional to 82,892.56, 124,339.70 and 66,357.70 is: 99,537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,892.56 : 124,339.70 = 66,357.70 : x
  2. Step 2: Convert to fraction form
    82,892.56/124,339.70 = 66,357.70/x
  3. Step 3: Cross multiply
    82,892.56x = 124,339.70 × 66,357.70
  4. Step 4: Simplify right side
    82,892.56x = 8,250,896,510.69
  5. Step 5: Solve for x
    x = 8,250,896,510.69/82,892.56
  6. Step 6: Final answer
    x = 99,537.24

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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.