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Finding the Fourth Proportional to 120,551.90, 180,473.12 and 80,471.47

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Solution

The fourth proportional to 120,551.90, 180,473.12 and 80,471.47 is: 120,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,551.90 : 180,473.12 = 80,471.47 : x
  2. Step 2: Convert to fraction form
    120,551.90/180,473.12 = 80,471.47/x
  3. Step 3: Cross multiply
    120,551.90x = 180,473.12 × 80,471.47
  4. Step 4: Simplify right side
    120,551.90x = 14,522,937,261.89
  5. Step 5: Solve for x
    x = 14,522,937,261.89/120,551.90
  6. Step 6: Final answer
    x = 120,470.41

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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.