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Finding the Fourth Proportional to 275,951.76, 413,853.48 and 76,225.20

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Solution

The fourth proportional to 275,951.76, 413,853.48 and 76,225.20 is: 114,317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,951.76 : 413,853.48 = 76,225.20 : x
  2. Step 2: Convert to fraction form
    275,951.76/413,853.48 = 76,225.20/x
  3. Step 3: Cross multiply
    275,951.76x = 413,853.48 × 76,225.20
  4. Step 4: Simplify right side
    275,951.76x = 31,546,064,283.70
  5. Step 5: Solve for x
    x = 31,546,064,283.70/275,951.76
  6. Step 6: Final answer
    x = 114,317.32

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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.