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Finding the Fourth Proportional to 88,031.52, 132,020.64 and 31,864.80

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Solution

The fourth proportional to 88,031.52, 132,020.64 and 31,864.80 is: 47,787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,031.52 : 132,020.64 = 31,864.80 : x
  2. Step 2: Convert to fraction form
    88,031.52/132,020.64 = 31,864.80/x
  3. Step 3: Cross multiply
    88,031.52x = 132,020.64 × 31,864.80
  4. Step 4: Simplify right side
    88,031.52x = 4,206,811,289.47
  5. Step 5: Solve for x
    x = 4,206,811,289.47/88,031.52
  6. Step 6: Final answer
    x = 47,787.56

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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.