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Finding the Fourth Proportional to 100,838.62, 151,279.80 and 30,716.08

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Solution

The fourth proportional to 100,838.62, 151,279.80 and 30,716.08 is: 46,080.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,838.62 : 151,279.80 = 30,716.08 : x
  2. Step 2: Convert to fraction form
    100,838.62/151,279.80 = 30,716.08/x
  3. Step 3: Cross multiply
    100,838.62x = 151,279.80 × 30,716.08
  4. Step 4: Simplify right side
    100,838.62x = 4,646,722,439.18
  5. Step 5: Solve for x
    x = 4,646,722,439.18/100,838.62
  6. Step 6: Final answer
    x = 46,080.78

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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.