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Finding the Fourth Proportional to 153,768.96, 230,691.84 and 42,960

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Solution

The fourth proportional to 153,768.96, 230,691.84 and 42,960 is: 64,450.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,768.96 : 230,691.84 = 42,960 : x
  2. Step 2: Convert to fraction form
    153,768.96/230,691.84 = 42,960/x
  3. Step 3: Cross multiply
    153,768.96x = 230,691.84 × 42,960
  4. Step 4: Simplify right side
    153,768.96x = 9,910,521,446.40
  5. Step 5: Solve for x
    x = 9,910,521,446.40/153,768.96
  6. Step 6: Final answer
    x = 64,450.73

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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.