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Finding the Fourth Proportional to 53,456, 80,147.04 and 38,472.32

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Solution

The fourth proportional to 53,456, 80,147.04 and 38,472.32 is: 57,681.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,456 : 80,147.04 = 38,472.32 : x
  2. Step 2: Convert to fraction form
    53,456/80,147.04 = 38,472.32/x
  3. Step 3: Cross multiply
    53,456x = 80,147.04 × 38,472.32
  4. Step 4: Simplify right side
    53,456x = 3,083,442,569.93
  5. Step 5: Solve for x
    x = 3,083,442,569.93/53,456
  6. Step 6: Final answer
    x = 57,681.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.