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Finding the Fourth Proportional to 82,821.53, 114,264.61 and 54,157.97

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Solution

The fourth proportional to 82,821.53, 114,264.61 and 54,157.97 is: 74,718.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,821.53 : 114,264.61 = 54,157.97 : x
  2. Step 2: Convert to fraction form
    82,821.53/114,264.61 = 54,157.97/x
  3. Step 3: Cross multiply
    82,821.53x = 114,264.61 × 54,157.97
  4. Step 4: Simplify right side
    82,821.53x = 6,188,339,470.71
  5. Step 5: Solve for x
    x = 6,188,339,470.71/82,821.53
  6. Step 6: Final answer
    x = 74,718.97

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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.