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Finding the Fourth Proportional to 54,879.52, 75,730 and 31,007.20

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Solution

The fourth proportional to 54,879.52, 75,730 and 31,007.20 is: 42,787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,879.52 : 75,730 = 31,007.20 : x
  2. Step 2: Convert to fraction form
    54,879.52/75,730 = 31,007.20/x
  3. Step 3: Cross multiply
    54,879.52x = 75,730 × 31,007.20
  4. Step 4: Simplify right side
    54,879.52x = 2,348,175,256
  5. Step 5: Solve for x
    x = 2,348,175,256/54,879.52
  6. Step 6: Final answer
    x = 42,787.82

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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.