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Finding the Fourth Proportional to 54,875.28, 75,728.25 and 29,724.78

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Solution

The fourth proportional to 54,875.28, 75,728.25 and 29,724.78 is: 41,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,875.28 : 75,728.25 = 29,724.78 : x
  2. Step 2: Convert to fraction form
    54,875.28/75,728.25 = 29,724.78/x
  3. Step 3: Cross multiply
    54,875.28x = 75,728.25 × 29,724.78
  4. Step 4: Simplify right side
    54,875.28x = 2,251,005,571.04
  5. Step 5: Solve for x
    x = 2,251,005,571.04/54,875.28
  6. Step 6: Final answer
    x = 41,020.39

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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.