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Finding the Fourth Proportional to 82,920, 114,349.68 and 55,757.28

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Solution

The fourth proportional to 82,920, 114,349.68 and 55,757.28 is: 76,891.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,920 : 114,349.68 = 55,757.28 : x
  2. Step 2: Convert to fraction form
    82,920/114,349.68 = 55,757.28/x
  3. Step 3: Cross multiply
    82,920x = 114,349.68 × 55,757.28
  4. Step 4: Simplify right side
    82,920x = 6,375,827,125.67
  5. Step 5: Solve for x
    x = 6,375,827,125.67/82,920
  6. Step 6: Final answer
    x = 76,891.31

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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.