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Finding the Fourth Proportional to 156,156, 234,240.48 and 45,348

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Solution

The fourth proportional to 156,156, 234,240.48 and 45,348 is: 68,023.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,156 : 234,240.48 = 45,348 : x
  2. Step 2: Convert to fraction form
    156,156/234,240.48 = 45,348/x
  3. Step 3: Cross multiply
    156,156x = 234,240.48 × 45,348
  4. Step 4: Simplify right side
    156,156x = 10,622,337,287.04
  5. Step 5: Solve for x
    x = 10,622,337,287.04/156,156
  6. Step 6: Final answer
    x = 68,023.88

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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.