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Finding the Fourth Proportional to 213,193.51, 319,785.87 and 71,049.11

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Solution

The fourth proportional to 213,193.51, 319,785.87 and 71,049.11 is: 106,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,193.51 : 319,785.87 = 71,049.11 : x
  2. Step 2: Convert to fraction form
    213,193.51/319,785.87 = 71,049.11/x
  3. Step 3: Cross multiply
    213,193.51x = 319,785.87 × 71,049.11
  4. Step 4: Simplify right side
    213,193.51x = 22,720,500,121.58
  5. Step 5: Solve for x
    x = 22,720,500,121.58/213,193.51
  6. Step 6: Final answer
    x = 106,572.20

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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.