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Finding the Fourth Proportional to 211,633.31, 317,500.76 and 78,514.71

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Solution

The fourth proportional to 211,633.31, 317,500.76 and 78,514.71 is: 117,790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,633.31 : 317,500.76 = 78,514.71 : x
  2. Step 2: Convert to fraction form
    211,633.31/317,500.76 = 78,514.71/x
  3. Step 3: Cross multiply
    211,633.31x = 317,500.76 × 78,514.71
  4. Step 4: Simplify right side
    211,633.31x = 24,928,479,703.61
  5. Step 5: Solve for x
    x = 24,928,479,703.61/211,633.31
  6. Step 6: Final answer
    x = 117,790.91

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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.