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Finding the Fourth Proportional to 149,754.32, 224,630.84 and 38,946

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Solution

The fourth proportional to 149,754.32, 224,630.84 and 38,946 is: 58,418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,754.32 : 224,630.84 = 38,946 : x
  2. Step 2: Convert to fraction form
    149,754.32/224,630.84 = 38,946/x
  3. Step 3: Cross multiply
    149,754.32x = 224,630.84 × 38,946
  4. Step 4: Simplify right side
    149,754.32x = 8,748,472,694.64
  5. Step 5: Solve for x
    x = 8,748,472,694.64/149,754.32
  6. Step 6: Final answer
    x = 58,418.83

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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.