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Finding the Fourth Proportional to 85,572, 128,375.10 and 26,405.44

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Solution

The fourth proportional to 85,572, 128,375.10 and 26,405.44 is: 39,613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,572 : 128,375.10 = 26,405.44 : x
  2. Step 2: Convert to fraction form
    85,572/128,375.10 = 26,405.44/x
  3. Step 3: Cross multiply
    85,572x = 128,375.10 × 26,405.44
  4. Step 4: Simplify right side
    85,572x = 3,389,800,679.61
  5. Step 5: Solve for x
    x = 3,389,800,679.61/85,572
  6. Step 6: Final answer
    x = 39,613.43

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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.