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Finding the Fourth Proportional to 99,879.75, 137,834.06 and 55,170.63

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Solution

The fourth proportional to 99,879.75, 137,834.06 and 55,170.63 is: 76,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,879.75 : 137,834.06 = 55,170.63 : x
  2. Step 2: Convert to fraction form
    99,879.75/137,834.06 = 55,170.63/x
  3. Step 3: Cross multiply
    99,879.75x = 137,834.06 × 55,170.63
  4. Step 4: Simplify right side
    99,879.75x = 7,604,391,649.80
  5. Step 5: Solve for x
    x = 7,604,391,649.80/99,879.75
  6. Step 6: Final answer
    x = 76,135.47

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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.