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Finding the Fourth Proportional to 51,586, 71,151.80 and 47,350.50

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Solution

The fourth proportional to 51,586, 71,151.80 and 47,350.50 is: 65,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,586 : 71,151.80 = 47,350.50 : x
  2. Step 2: Convert to fraction form
    51,586/71,151.80 = 47,350.50/x
  3. Step 3: Cross multiply
    51,586x = 71,151.80 × 47,350.50
  4. Step 4: Simplify right side
    51,586x = 3,369,073,305.90
  5. Step 5: Solve for x
    x = 3,369,073,305.90/51,586
  6. Step 6: Final answer
    x = 65,309.84

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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.