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Finding the Fourth Proportional to 47,868.76, 71,770.74 and 16,687

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Solution

The fourth proportional to 47,868.76, 71,770.74 and 16,687 is: 25,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,868.76 : 71,770.74 = 16,687 : x
  2. Step 2: Convert to fraction form
    47,868.76/71,770.74 = 16,687/x
  3. Step 3: Cross multiply
    47,868.76x = 71,770.74 × 16,687
  4. Step 4: Simplify right side
    47,868.76x = 1,197,638,338.38
  5. Step 5: Solve for x
    x = 1,197,638,338.38/47,868.76
  6. Step 6: Final answer
    x = 25,019.21

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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.