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Finding the Fourth Proportional to 73,142.40, 100,931.04 and 41,311.20

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Solution

The fourth proportional to 73,142.40, 100,931.04 and 41,311.20 is: 57,006.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,142.40 : 100,931.04 = 41,311.20 : x
  2. Step 2: Convert to fraction form
    73,142.40/100,931.04 = 41,311.20/x
  3. Step 3: Cross multiply
    73,142.40x = 100,931.04 × 41,311.20
  4. Step 4: Simplify right side
    73,142.40x = 4,169,582,379.65
  5. Step 5: Solve for x
    x = 4,169,582,379.65/73,142.40
  6. Step 6: Final answer
    x = 57,006.37

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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.