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Finding the Fourth Proportional to 57,307.40, 85,961.10 and 56,432.60

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Solution

The fourth proportional to 57,307.40, 85,961.10 and 56,432.60 is: 84,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,307.40 : 85,961.10 = 56,432.60 : x
  2. Step 2: Convert to fraction form
    57,307.40/85,961.10 = 56,432.60/x
  3. Step 3: Cross multiply
    57,307.40x = 85,961.10 × 56,432.60
  4. Step 4: Simplify right side
    57,307.40x = 4,851,008,371.86
  5. Step 5: Solve for x
    x = 4,851,008,371.86/57,307.40
  6. Step 6: Final answer
    x = 84,648.90

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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.