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Finding the Fourth Proportional to 156,282, 234,461.88 and 45,474

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Solution

The fourth proportional to 156,282, 234,461.88 and 45,474 is: 68,222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,282 : 234,461.88 = 45,474 : x
  2. Step 2: Convert to fraction form
    156,282/234,461.88 = 45,474/x
  3. Step 3: Cross multiply
    156,282x = 234,461.88 × 45,474
  4. Step 4: Simplify right side
    156,282x = 10,661,919,531.12
  5. Step 5: Solve for x
    x = 10,661,919,531.12/156,282
  6. Step 6: Final answer
    x = 68,222.31

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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.