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Finding the Fourth Proportional to 44,456.40, 66,830.40 and 31,399.20

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Solution

The fourth proportional to 44,456.40, 66,830.40 and 31,399.20 is: 47,201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,456.40 : 66,830.40 = 31,399.20 : x
  2. Step 2: Convert to fraction form
    44,456.40/66,830.40 = 31,399.20/x
  3. Step 3: Cross multiply
    44,456.40x = 66,830.40 × 31,399.20
  4. Step 4: Simplify right side
    44,456.40x = 2,098,421,095.68
  5. Step 5: Solve for x
    x = 2,098,421,095.68/44,456.40
  6. Step 6: Final answer
    x = 47,201.78

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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.