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Finding the Fourth Proportional to 162,287.28, 243,100.44 and 132,408

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Solution

The fourth proportional to 162,287.28, 243,100.44 and 132,408 is: 198,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,287.28 : 243,100.44 = 132,408 : x
  2. Step 2: Convert to fraction form
    162,287.28/243,100.44 = 132,408/x
  3. Step 3: Cross multiply
    162,287.28x = 243,100.44 × 132,408
  4. Step 4: Simplify right side
    162,287.28x = 32,188,443,059.52
  5. Step 5: Solve for x
    x = 32,188,443,059.52/162,287.28
  6. Step 6: Final answer
    x = 198,342.37

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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.