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Finding the Fourth Proportional to 76,144.32, 114,160.32 and 29,376

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Solution

The fourth proportional to 76,144.32, 114,160.32 and 29,376 is: 44,042.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,144.32 : 114,160.32 = 29,376 : x
  2. Step 2: Convert to fraction form
    76,144.32/114,160.32 = 29,376/x
  3. Step 3: Cross multiply
    76,144.32x = 114,160.32 × 29,376
  4. Step 4: Simplify right side
    76,144.32x = 3,353,573,560.32
  5. Step 5: Solve for x
    x = 3,353,573,560.32/76,144.32
  6. Step 6: Final answer
    x = 44,042.33

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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.