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Finding the Fourth Proportional to 100,678.62, 138,924.99 and 80,528.16

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Solution

The fourth proportional to 100,678.62, 138,924.99 and 80,528.16 is: 111,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,678.62 : 138,924.99 = 80,528.16 : x
  2. Step 2: Convert to fraction form
    100,678.62/138,924.99 = 80,528.16/x
  3. Step 3: Cross multiply
    100,678.62x = 138,924.99 × 80,528.16
  4. Step 4: Simplify right side
    100,678.62x = 11,187,373,822.72
  5. Step 5: Solve for x
    x = 11,187,373,822.72/100,678.62
  6. Step 6: Final answer
    x = 111,119.66

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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.