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Finding the Fourth Proportional to 54,008, 74,533.92 and 31,659.20

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Solution

The fourth proportional to 54,008, 74,533.92 and 31,659.20 is: 43,691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,008 : 74,533.92 = 31,659.20 : x
  2. Step 2: Convert to fraction form
    54,008/74,533.92 = 31,659.20/x
  3. Step 3: Cross multiply
    54,008x = 74,533.92 × 31,659.20
  4. Step 4: Simplify right side
    54,008x = 2,359,684,280.06
  5. Step 5: Solve for x
    x = 2,359,684,280.06/54,008
  6. Step 6: Final answer
    x = 43,691.38

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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.