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Finding the Fourth Proportional to 85,218.32, 127,818.84 and 29,810

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Solution

The fourth proportional to 85,218.32, 127,818.84 and 29,810 is: 44,711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,218.32 : 127,818.84 = 29,810 : x
  2. Step 2: Convert to fraction form
    85,218.32/127,818.84 = 29,810/x
  3. Step 3: Cross multiply
    85,218.32x = 127,818.84 × 29,810
  4. Step 4: Simplify right side
    85,218.32x = 3,810,279,620.40
  5. Step 5: Solve for x
    x = 3,810,279,620.40/85,218.32
  6. Step 6: Final answer
    x = 44,711.98

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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.