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Finding the Fourth Proportional to 82,354.32, 122,472 and 79,729.92

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Solution

The fourth proportional to 82,354.32, 122,472 and 79,729.92 is: 118,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,354.32 : 122,472 = 79,729.92 : x
  2. Step 2: Convert to fraction form
    82,354.32/122,472 = 79,729.92/x
  3. Step 3: Cross multiply
    82,354.32x = 122,472 × 79,729.92
  4. Step 4: Simplify right side
    82,354.32x = 9,764,682,762.24
  5. Step 5: Solve for x
    x = 9,764,682,762.24/82,354.32
  6. Step 6: Final answer
    x = 118,569.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.