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Finding the Fourth Proportional to 211,762.96, 317,691.82 and 71,517.94

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Solution

The fourth proportional to 211,762.96, 317,691.82 and 71,517.94 is: 107,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,762.96 : 317,691.82 = 71,517.94 : x
  2. Step 2: Convert to fraction form
    211,762.96/317,691.82 = 71,517.94/x
  3. Step 3: Cross multiply
    211,762.96x = 317,691.82 × 71,517.94
  4. Step 4: Simplify right side
    211,762.96x = 22,720,663,816.42
  5. Step 5: Solve for x
    x = 22,720,663,816.42/211,762.96
  6. Step 6: Final answer
    x = 107,292.91

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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.