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Finding the Fourth Proportional to 211,872.61, 317,808.92 and 133,042.20

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Solution

The fourth proportional to 211,872.61, 317,808.92 and 133,042.20 is: 199,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,872.61 : 317,808.92 = 133,042.20 : x
  2. Step 2: Convert to fraction form
    211,872.61/317,808.92 = 133,042.20/x
  3. Step 3: Cross multiply
    211,872.61x = 317,808.92 × 133,042.20
  4. Step 4: Simplify right side
    211,872.61x = 42,281,996,288.88
  5. Step 5: Solve for x
    x = 42,281,996,288.88/211,872.61
  6. Step 6: Final answer
    x = 199,563.29

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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.