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Finding the Fourth Proportional to 99,876.19, 137,650.91 and 75,619.04

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Solution

The fourth proportional to 99,876.19, 137,650.91 and 75,619.04 is: 104,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,876.19 : 137,650.91 = 75,619.04 : x
  2. Step 2: Convert to fraction form
    99,876.19/137,650.91 = 75,619.04/x
  3. Step 3: Cross multiply
    99,876.19x = 137,650.91 × 75,619.04
  4. Step 4: Simplify right side
    99,876.19x = 10,409,029,669.33
  5. Step 5: Solve for x
    x = 10,409,029,669.33/99,876.19
  6. Step 6: Final answer
    x = 104,219.33

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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.