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Finding the Fourth Proportional to 169,978.32, 255,053.16 and 120,377.20

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Solution

The fourth proportional to 169,978.32, 255,053.16 and 120,377.20 is: 180,626.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,978.32 : 255,053.16 = 120,377.20 : x
  2. Step 2: Convert to fraction form
    169,978.32/255,053.16 = 120,377.20/x
  3. Step 3: Cross multiply
    169,978.32x = 255,053.16 × 120,377.20
  4. Step 4: Simplify right side
    169,978.32x = 30,702,585,251.95
  5. Step 5: Solve for x
    x = 30,702,585,251.95/169,978.32
  6. Step 6: Final answer
    x = 180,626.48

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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.