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Finding the Fourth Proportional to 100,228, 138,318.96 and 55,516

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Solution

The fourth proportional to 100,228, 138,318.96 and 55,516 is: 76,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,228 : 138,318.96 = 55,516 : x
  2. Step 2: Convert to fraction form
    100,228/138,318.96 = 55,516/x
  3. Step 3: Cross multiply
    100,228x = 138,318.96 × 55,516
  4. Step 4: Simplify right side
    100,228x = 7,678,915,383.36
  5. Step 5: Solve for x
    x = 7,678,915,383.36/100,228
  6. Step 6: Final answer
    x = 76,614.47

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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.