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Finding the Fourth Proportional to 56,989.59, 85,432.11 and 21,902.82

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Solution

The fourth proportional to 56,989.59, 85,432.11 and 21,902.82 is: 32,834.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,989.59 : 85,432.11 = 21,902.82 : x
  2. Step 2: Convert to fraction form
    56,989.59/85,432.11 = 21,902.82/x
  3. Step 3: Cross multiply
    56,989.59x = 85,432.11 × 21,902.82
  4. Step 4: Simplify right side
    56,989.59x = 1,871,204,127.55
  5. Step 5: Solve for x
    x = 1,871,204,127.55/56,989.59
  6. Step 6: Final answer
    x = 32,834.14

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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.