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Finding the Fourth Proportional to 78,576.48, 117,864.72 and 23,159.52

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Solution

The fourth proportional to 78,576.48, 117,864.72 and 23,159.52 is: 34,739.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,576.48 : 117,864.72 = 23,159.52 : x
  2. Step 2: Convert to fraction form
    78,576.48/117,864.72 = 23,159.52/x
  3. Step 3: Cross multiply
    78,576.48x = 117,864.72 × 23,159.52
  4. Step 4: Simplify right side
    78,576.48x = 2,729,690,340.13
  5. Step 5: Solve for x
    x = 2,729,690,340.13/78,576.48
  6. Step 6: Final answer
    x = 34,739.28

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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.