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Finding the Fourth Proportional to 156,132, 234,204.48 and 45,324

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Solution

The fourth proportional to 156,132, 234,204.48 and 45,324 is: 67,987.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,132 : 234,204.48 = 45,324 : x
  2. Step 2: Convert to fraction form
    156,132/234,204.48 = 45,324/x
  3. Step 3: Cross multiply
    156,132x = 234,204.48 × 45,324
  4. Step 4: Simplify right side
    156,132x = 10,615,083,851.52
  5. Step 5: Solve for x
    x = 10,615,083,851.52/156,132
  6. Step 6: Final answer
    x = 67,987.88

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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.