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Finding the Fourth Proportional to 213,514.68, 320,163.16 and 71,308.76

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Solution

The fourth proportional to 213,514.68, 320,163.16 and 71,308.76 is: 106,926.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,514.68 : 320,163.16 = 71,308.76 : x
  2. Step 2: Convert to fraction form
    213,514.68/320,163.16 = 71,308.76/x
  3. Step 3: Cross multiply
    213,514.68x = 320,163.16 × 71,308.76
  4. Step 4: Simplify right side
    213,514.68x = 22,830,437,937.28
  5. Step 5: Solve for x
    x = 22,830,437,937.28/213,514.68
  6. Step 6: Final answer
    x = 106,926.78

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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.