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Finding the Fourth Proportional to 100,873.32, 151,016.10 and 78,618.78

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Solution

The fourth proportional to 100,873.32, 151,016.10 and 78,618.78 is: 117,699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,873.32 : 151,016.10 = 78,618.78 : x
  2. Step 2: Convert to fraction form
    100,873.32/151,016.10 = 78,618.78/x
  3. Step 3: Cross multiply
    100,873.32x = 151,016.10 × 78,618.78
  4. Step 4: Simplify right side
    100,873.32x = 11,872,701,542.36
  5. Step 5: Solve for x
    x = 11,872,701,542.36/100,873.32
  6. Step 6: Final answer
    x = 117,699.13

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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.