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Finding the Fourth Proportional to 81,813.68, 122,702.16 and 31,876.64

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Solution

The fourth proportional to 81,813.68, 122,702.16 and 31,876.64 is: 47,807.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,813.68 : 122,702.16 = 31,876.64 : x
  2. Step 2: Convert to fraction form
    81,813.68/122,702.16 = 31,876.64/x
  3. Step 3: Cross multiply
    81,813.68x = 122,702.16 × 31,876.64
  4. Step 4: Simplify right side
    81,813.68x = 3,911,332,581.54
  5. Step 5: Solve for x
    x = 3,911,332,581.54/81,813.68
  6. Step 6: Final answer
    x = 47,807.81

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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.