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Finding the Fourth Proportional to 120,074.91, 180,132.17 and 49,959.15

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Solution

The fourth proportional to 120,074.91, 180,132.17 and 49,959.15 is: 74,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,074.91 : 180,132.17 = 49,959.15 : x
  2. Step 2: Convert to fraction form
    120,074.91/180,132.17 = 49,959.15/x
  3. Step 3: Cross multiply
    120,074.91x = 180,132.17 × 49,959.15
  4. Step 4: Simplify right side
    120,074.91x = 8,999,249,851.06
  5. Step 5: Solve for x
    x = 8,999,249,851.06/120,074.91
  6. Step 6: Final answer
    x = 74,946.96

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1.5x scale

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.