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Finding the Fourth Proportional to 78,539.88, 108,382.53 and 42,728.97

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Solution

The fourth proportional to 78,539.88, 108,382.53 and 42,728.97 is: 58,964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,539.88 : 108,382.53 = 42,728.97 : x
  2. Step 2: Convert to fraction form
    78,539.88/108,382.53 = 42,728.97/x
  3. Step 3: Cross multiply
    78,539.88x = 108,382.53 × 42,728.97
  4. Step 4: Simplify right side
    78,539.88x = 4,631,073,872.89
  5. Step 5: Solve for x
    x = 4,631,073,872.89/78,539.88
  6. Step 6: Final answer
    x = 58,964.62

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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.