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Finding the Fourth Proportional to 102,120.72, 153,241 and 42,951.84

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Solution

The fourth proportional to 102,120.72, 153,241 and 42,951.84 is: 64,452.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,120.72 : 153,241 = 42,951.84 : x
  2. Step 2: Convert to fraction form
    102,120.72/153,241 = 42,951.84/x
  3. Step 3: Cross multiply
    102,120.72x = 153,241 × 42,951.84
  4. Step 4: Simplify right side
    102,120.72x = 6,581,982,913.44
  5. Step 5: Solve for x
    x = 6,581,982,913.44/102,120.72
  6. Step 6: Final answer
    x = 64,452.96

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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.