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Finding the Fourth Proportional to 120,550.71, 180,856.13 and 85,081.31

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Solution

The fourth proportional to 120,550.71, 180,856.13 and 85,081.31 is: 127,643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,550.71 : 180,856.13 = 85,081.31 : x
  2. Step 2: Convert to fraction form
    120,550.71/180,856.13 = 85,081.31/x
  3. Step 3: Cross multiply
    120,550.71x = 180,856.13 × 85,081.31
  4. Step 4: Simplify right side
    120,550.71x = 15,387,476,461.93
  5. Step 5: Solve for x
    x = 15,387,476,461.93/120,550.71
  6. Step 6: Final answer
    x = 127,643.18

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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.