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Finding the Fourth Proportional to 88,657.81, 132,976.85 and 31,729.42

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Solution

The fourth proportional to 88,657.81, 132,976.85 and 31,729.42 is: 47,590.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,657.81 : 132,976.85 = 31,729.42 : x
  2. Step 2: Convert to fraction form
    88,657.81/132,976.85 = 31,729.42/x
  3. Step 3: Cross multiply
    88,657.81x = 132,976.85 × 31,729.42
  4. Step 4: Simplify right side
    88,657.81x = 4,219,277,500.40
  5. Step 5: Solve for x
    x = 4,219,277,500.40/88,657.81
  6. Step 6: Final answer
    x = 47,590.59

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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.