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Finding the Fourth Proportional to 212,171.52, 318,189.92 and 71,897.28

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Solution

The fourth proportional to 212,171.52, 318,189.92 and 71,897.28 is: 107,823.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,171.52 : 318,189.92 = 71,897.28 : x
  2. Step 2: Convert to fraction form
    212,171.52/318,189.92 = 71,897.28/x
  3. Step 3: Cross multiply
    212,171.52x = 318,189.92 × 71,897.28
  4. Step 4: Simplify right side
    212,171.52x = 22,876,989,771.42
  5. Step 5: Solve for x
    x = 22,876,989,771.42/212,171.52
  6. Step 6: Final answer
    x = 107,823.09

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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.