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Finding the Fourth Proportional to 54,654.57, 75,422.57 and 30,781.53

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Solution

The fourth proportional to 54,654.57, 75,422.57 and 30,781.53 is: 42,478.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,654.57 : 75,422.57 = 30,781.53 : x
  2. Step 2: Convert to fraction form
    54,654.57/75,422.57 = 30,781.53/x
  3. Step 3: Cross multiply
    54,654.57x = 75,422.57 × 30,781.53
  4. Step 4: Simplify right side
    54,654.57x = 2,321,621,947.22
  5. Step 5: Solve for x
    x = 2,321,621,947.22/54,654.57
  6. Step 6: Final answer
    x = 42,478.09

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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.