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Finding the Fourth Proportional to 56,885.92, 85,341 and 21,825.28

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Solution

The fourth proportional to 56,885.92, 85,341 and 21,825.28 is: 32,742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,885.92 : 85,341 = 21,825.28 : x
  2. Step 2: Convert to fraction form
    56,885.92/85,341 = 21,825.28/x
  3. Step 3: Cross multiply
    56,885.92x = 85,341 × 21,825.28
  4. Step 4: Simplify right side
    56,885.92x = 1,862,591,220.48
  5. Step 5: Solve for x
    x = 1,862,591,220.48/56,885.92
  6. Step 6: Final answer
    x = 32,742.57

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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.