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Finding the Fourth Proportional to 154,729.76, 232,069.72 and 42,383.70

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Solution

The fourth proportional to 154,729.76, 232,069.72 and 42,383.70 is: 63,568.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,729.76 : 232,069.72 = 42,383.70 : x
  2. Step 2: Convert to fraction form
    154,729.76/232,069.72 = 42,383.70/x
  3. Step 3: Cross multiply
    154,729.76x = 232,069.72 × 42,383.70
  4. Step 4: Simplify right side
    154,729.76x = 9,835,973,391.56
  5. Step 5: Solve for x
    x = 9,835,973,391.56/154,729.76
  6. Step 6: Final answer
    x = 63,568.72

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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.