Home / 205,023.20-282,959.76-120,174.24

Finding the Fourth Proportional to 205,023.20, 282,959.76 and 120,174.24

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Solution

The fourth proportional to 205,023.20, 282,959.76 and 120,174.24 is: 165,856.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,023.20 : 282,959.76 = 120,174.24 : x
  2. Step 2: Convert to fraction form
    205,023.20/282,959.76 = 120,174.24/x
  3. Step 3: Cross multiply
    205,023.20x = 282,959.76 × 120,174.24
  4. Step 4: Simplify right side
    205,023.20x = 34,004,474,108.58
  5. Step 5: Solve for x
    x = 34,004,474,108.58/205,023.20
  6. Step 6: Final answer
    x = 165,856.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.