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Finding the Fourth Proportional to 80,361, 120,541.50 and 31,113

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Solution

The fourth proportional to 80,361, 120,541.50 and 31,113 is: 46,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,361 : 120,541.50 = 31,113 : x
  2. Step 2: Convert to fraction form
    80,361/120,541.50 = 31,113/x
  3. Step 3: Cross multiply
    80,361x = 120,541.50 × 31,113
  4. Step 4: Simplify right side
    80,361x = 3,750,407,689.50
  5. Step 5: Solve for x
    x = 3,750,407,689.50/80,361
  6. Step 6: Final answer
    x = 46,669.50

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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.