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Finding the Fourth Proportional to 56,765.80, 85,145.82 and 21,702.76

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Solution

The fourth proportional to 56,765.80, 85,145.82 and 21,702.76 is: 32,553.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,765.80 : 85,145.82 = 21,702.76 : x
  2. Step 2: Convert to fraction form
    56,765.80/85,145.82 = 21,702.76/x
  3. Step 3: Cross multiply
    56,765.80x = 85,145.82 × 21,702.76
  4. Step 4: Simplify right side
    56,765.80x = 1,847,899,296.46
  5. Step 5: Solve for x
    x = 1,847,899,296.46/56,765.80
  6. Step 6: Final answer
    x = 32,553.04

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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.