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Finding the Fourth Proportional to 80,655.75, 120,983.76 and 31,407.75

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Solution

The fourth proportional to 80,655.75, 120,983.76 and 31,407.75 is: 47,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,655.75 : 120,983.76 = 31,407.75 : x
  2. Step 2: Convert to fraction form
    80,655.75/120,983.76 = 31,407.75/x
  3. Step 3: Cross multiply
    80,655.75x = 120,983.76 × 31,407.75
  4. Step 4: Simplify right side
    80,655.75x = 3,799,827,688.14
  5. Step 5: Solve for x
    x = 3,799,827,688.14/80,655.75
  6. Step 6: Final answer
    x = 47,111.68

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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.