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Finding the Fourth Proportional to 99,879.84, 149,649.21 and 54,938.79

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Solution

The fourth proportional to 99,879.84, 149,649.21 and 54,938.79 is: 82,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,879.84 : 149,649.21 = 54,938.79 : x
  2. Step 2: Convert to fraction form
    99,879.84/149,649.21 = 54,938.79/x
  3. Step 3: Cross multiply
    99,879.84x = 149,649.21 × 54,938.79
  4. Step 4: Simplify right side
    99,879.84x = 8,221,546,521.86
  5. Step 5: Solve for x
    x = 8,221,546,521.86/99,879.84
  6. Step 6: Final answer
    x = 82,314.37

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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.