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Finding the Fourth Proportional to 136,322.84, 188,109.18 and 75,879

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Solution

The fourth proportional to 136,322.84, 188,109.18 and 75,879 is: 104,703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,322.84 : 188,109.18 = 75,879 : x
  2. Step 2: Convert to fraction form
    136,322.84/188,109.18 = 75,879/x
  3. Step 3: Cross multiply
    136,322.84x = 188,109.18 × 75,879
  4. Step 4: Simplify right side
    136,322.84x = 14,273,536,469.22
  5. Step 5: Solve for x
    x = 14,273,536,469.22/136,322.84
  6. Step 6: Final answer
    x = 104,703.93

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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.