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Finding the Fourth Proportional to 54,712.64, 81,974.64 and 42,728.96

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Solution

The fourth proportional to 54,712.64, 81,974.64 and 42,728.96 is: 64,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,712.64 : 81,974.64 = 42,728.96 : x
  2. Step 2: Convert to fraction form
    54,712.64/81,974.64 = 42,728.96/x
  3. Step 3: Cross multiply
    54,712.64x = 81,974.64 × 42,728.96
  4. Step 4: Simplify right side
    54,712.64x = 3,502,691,113.57
  5. Step 5: Solve for x
    x = 3,502,691,113.57/54,712.64
  6. Step 6: Final answer
    x = 64,019.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.