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Finding the Fourth Proportional to 213,851.95, 295,105.17 and 121,974.87

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Solution

The fourth proportional to 213,851.95, 295,105.17 and 121,974.87 is: 168,319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,851.95 : 295,105.17 = 121,974.87 : x
  2. Step 2: Convert to fraction form
    213,851.95/295,105.17 = 121,974.87/x
  3. Step 3: Cross multiply
    213,851.95x = 295,105.17 × 121,974.87
  4. Step 4: Simplify right side
    213,851.95x = 35,995,414,747.08
  5. Step 5: Solve for x
    x = 35,995,414,747.08/213,851.95
  6. Step 6: Final answer
    x = 168,319.32

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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.