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Finding the Fourth Proportional to 150,790.75, 208,101.86 and 99,714.71

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Solution

The fourth proportional to 150,790.75, 208,101.86 and 99,714.71 is: 137,613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,790.75 : 208,101.86 = 99,714.71 : x
  2. Step 2: Convert to fraction form
    150,790.75/208,101.86 = 99,714.71/x
  3. Step 3: Cross multiply
    150,790.75x = 208,101.86 × 99,714.71
  4. Step 4: Simplify right side
    150,790.75x = 20,750,817,015.97
  5. Step 5: Solve for x
    x = 20,750,817,015.97/150,790.75
  6. Step 6: Final answer
    x = 137,613.33

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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.