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Finding the Fourth Proportional to 82,397.36, 122,536 and 79,772.96

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Solution

The fourth proportional to 82,397.36, 122,536 and 79,772.96 is: 118,633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,397.36 : 122,536 = 79,772.96 : x
  2. Step 2: Convert to fraction form
    82,397.36/122,536 = 79,772.96/x
  3. Step 3: Cross multiply
    82,397.36x = 122,536 × 79,772.96
  4. Step 4: Simplify right side
    82,397.36x = 9,775,059,426.56
  5. Step 5: Solve for x
    x = 9,775,059,426.56/82,397.36
  6. Step 6: Final answer
    x = 118,633.16

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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.