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Finding the Fourth Proportional to 51,711.70, 71,362.15 and 28,741.52

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Solution

The fourth proportional to 51,711.70, 71,362.15 and 28,741.52 is: 39,663.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,711.70 : 71,362.15 = 28,741.52 : x
  2. Step 2: Convert to fraction form
    51,711.70/71,362.15 = 28,741.52/x
  3. Step 3: Cross multiply
    51,711.70x = 71,362.15 × 28,741.52
  4. Step 4: Simplify right side
    51,711.70x = 2,051,056,160.95
  5. Step 5: Solve for x
    x = 2,051,056,160.95/51,711.70
  6. Step 6: Final answer
    x = 39,663.29

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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.