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Finding the Fourth Proportional to 82,857.70, 124,190.13 and 47,343.90

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Solution

The fourth proportional to 82,857.70, 124,190.13 and 47,343.90 is: 70,960.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,857.70 : 124,190.13 = 47,343.90 : x
  2. Step 2: Convert to fraction form
    82,857.70/124,190.13 = 47,343.90/x
  3. Step 3: Cross multiply
    82,857.70x = 124,190.13 × 47,343.90
  4. Step 4: Simplify right side
    82,857.70x = 5,879,644,424.80
  5. Step 5: Solve for x
    x = 5,879,644,424.80/82,857.70
  6. Step 6: Final answer
    x = 70,960.75

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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.