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Finding the Fourth Proportional to 54,785.52, 75,608.64 and 30,913.20

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Solution

The fourth proportional to 54,785.52, 75,608.64 and 30,913.20 is: 42,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,785.52 : 75,608.64 = 30,913.20 : x
  2. Step 2: Convert to fraction form
    54,785.52/75,608.64 = 30,913.20/x
  3. Step 3: Cross multiply
    54,785.52x = 75,608.64 × 30,913.20
  4. Step 4: Simplify right side
    54,785.52x = 2,337,305,010.05
  5. Step 5: Solve for x
    x = 2,337,305,010.05/54,785.52
  6. Step 6: Final answer
    x = 42,662.82

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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.