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Finding the Fourth Proportional to 54,036.32, 74,569.84 and 31,380.88

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Solution

The fourth proportional to 54,036.32, 74,569.84 and 31,380.88 is: 43,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,036.32 : 74,569.84 = 31,380.88 : x
  2. Step 2: Convert to fraction form
    54,036.32/74,569.84 = 31,380.88/x
  3. Step 3: Cross multiply
    54,036.32x = 74,569.84 × 31,380.88
  4. Step 4: Simplify right side
    54,036.32x = 2,340,067,169.43
  5. Step 5: Solve for x
    x = 2,340,067,169.43/54,036.32
  6. Step 6: Final answer
    x = 43,305.45

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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.