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Finding the Fourth Proportional to 80,638.46, 120,978.14 and 56,992.53

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Solution

The fourth proportional to 80,638.46, 120,978.14 and 56,992.53 is: 85,503.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,638.46 : 120,978.14 = 56,992.53 : x
  2. Step 2: Convert to fraction form
    80,638.46/120,978.14 = 56,992.53/x
  3. Step 3: Cross multiply
    80,638.46x = 120,978.14 × 56,992.53
  4. Step 4: Simplify right side
    80,638.46x = 6,894,850,273.29
  5. Step 5: Solve for x
    x = 6,894,850,273.29/80,638.46
  6. Step 6: Final answer
    x = 85,503.25

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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.