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Finding the Fourth Proportional to 211,523.31, 317,306.84 and 71,292.87

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Solution

The fourth proportional to 211,523.31, 317,306.84 and 71,292.87 is: 106,946.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,523.31 : 317,306.84 = 71,292.87 : x
  2. Step 2: Convert to fraction form
    211,523.31/317,306.84 = 71,292.87/x
  3. Step 3: Cross multiply
    211,523.31x = 317,306.84 × 71,292.87
  4. Step 4: Simplify right side
    211,523.31x = 22,621,714,937.77
  5. Step 5: Solve for x
    x = 22,621,714,937.77/211,523.31
  6. Step 6: Final answer
    x = 106,946.68

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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.