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Finding the Fourth Proportional to 77,382.10, 115,963.80 and 47,711.80

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Solution

The fourth proportional to 77,382.10, 115,963.80 and 47,711.80 is: 71,500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,382.10 : 115,963.80 = 47,711.80 : x
  2. Step 2: Convert to fraction form
    77,382.10/115,963.80 = 47,711.80/x
  3. Step 3: Cross multiply
    77,382.10x = 115,963.80 × 47,711.80
  4. Step 4: Simplify right side
    77,382.10x = 5,532,841,632.84
  5. Step 5: Solve for x
    x = 5,532,841,632.84/77,382.10
  6. Step 6: Final answer
    x = 71,500.28

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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.