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Finding the Fourth Proportional to 54,393.50, 75,065.56 and 31,728.90

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Solution

The fourth proportional to 54,393.50, 75,065.56 and 31,728.90 is: 43,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,393.50 : 75,065.56 = 31,728.90 : x
  2. Step 2: Convert to fraction form
    54,393.50/75,065.56 = 31,728.90/x
  3. Step 3: Cross multiply
    54,393.50x = 75,065.56 × 31,728.90
  4. Step 4: Simplify right side
    54,393.50x = 2,381,747,646.68
  5. Step 5: Solve for x
    x = 2,381,747,646.68/54,393.50
  6. Step 6: Final answer
    x = 43,787.36

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1.5x scale

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.