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Finding the Fourth Proportional to 96,480, 144,761.40 and 49,765.68

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Solution

The fourth proportional to 96,480, 144,761.40 and 49,765.68 is: 74,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,480 : 144,761.40 = 49,765.68 : x
  2. Step 2: Convert to fraction form
    96,480/144,761.40 = 49,765.68/x
  3. Step 3: Cross multiply
    96,480x = 144,761.40 × 49,765.68
  4. Step 4: Simplify right side
    96,480x = 7,204,149,508.75
  5. Step 5: Solve for x
    x = 7,204,149,508.75/96,480
  6. Step 6: Final answer
    x = 74,669.87

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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.