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Finding the Fourth Proportional to 136,291.32, 188,080.68 and 75,861

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Solution

The fourth proportional to 136,291.32, 188,080.68 and 75,861 is: 104,687.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,291.32 : 188,080.68 = 75,861 : x
  2. Step 2: Convert to fraction form
    136,291.32/188,080.68 = 75,861/x
  3. Step 3: Cross multiply
    136,291.32x = 188,080.68 × 75,861
  4. Step 4: Simplify right side
    136,291.32x = 14,267,988,465.48
  5. Step 5: Solve for x
    x = 14,267,988,465.48/136,291.32
  6. Step 6: Final answer
    x = 104,687.43

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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.