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Finding the Fourth Proportional to 149,251.20, 223,876.80 and 38,443.20

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Solution

The fourth proportional to 149,251.20, 223,876.80 and 38,443.20 is: 57,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,251.20 : 223,876.80 = 38,443.20 : x
  2. Step 2: Convert to fraction form
    149,251.20/223,876.80 = 38,443.20/x
  3. Step 3: Cross multiply
    149,251.20x = 223,876.80 × 38,443.20
  4. Step 4: Simplify right side
    149,251.20x = 8,606,540,597.76
  5. Step 5: Solve for x
    x = 8,606,540,597.76/149,251.20
  6. Step 6: Final answer
    x = 57,664.80

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1.5x scale

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.