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Finding the Fourth Proportional to 51,715, 71,366.70 and 28,163

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Solution

The fourth proportional to 51,715, 71,366.70 and 28,163 is: 38,864.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,715 : 71,366.70 = 28,163 : x
  2. Step 2: Convert to fraction form
    51,715/71,366.70 = 28,163/x
  3. Step 3: Cross multiply
    51,715x = 71,366.70 × 28,163
  4. Step 4: Simplify right side
    51,715x = 2,009,900,372.10
  5. Step 5: Solve for x
    x = 2,009,900,372.10/51,715
  6. Step 6: Final answer
    x = 38,864.94

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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.