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Finding the Fourth Proportional to 213,312.53, 319,910.47 and 80,182.55

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Solution

The fourth proportional to 213,312.53, 319,910.47 and 80,182.55 is: 120,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,312.53 : 319,910.47 = 80,182.55 : x
  2. Step 2: Convert to fraction form
    213,312.53/319,910.47 = 80,182.55/x
  3. Step 3: Cross multiply
    213,312.53x = 319,910.47 × 80,182.55
  4. Step 4: Simplify right side
    213,312.53x = 25,651,235,456.29
  5. Step 5: Solve for x
    x = 25,651,235,456.29/213,312.53
  6. Step 6: Final answer
    x = 120,251.90

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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.