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Finding the Fourth Proportional to 51,225, 70,691.28 and 28,869

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Solution

The fourth proportional to 51,225, 70,691.28 and 28,869 is: 39,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,225 : 70,691.28 = 28,869 : x
  2. Step 2: Convert to fraction form
    51,225/70,691.28 = 28,869/x
  3. Step 3: Cross multiply
    51,225x = 70,691.28 × 28,869
  4. Step 4: Simplify right side
    51,225x = 2,040,786,562.32
  5. Step 5: Solve for x
    x = 2,040,786,562.32/51,225
  6. Step 6: Final answer
    x = 39,839.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.