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Finding the Fourth Proportional to 100,410, 138,572.28 and 55,698

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Solution

The fourth proportional to 100,410, 138,572.28 and 55,698 is: 76,866.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,410 : 138,572.28 = 55,698 : x
  2. Step 2: Convert to fraction form
    100,410/138,572.28 = 55,698/x
  3. Step 3: Cross multiply
    100,410x = 138,572.28 × 55,698
  4. Step 4: Simplify right side
    100,410x = 7,718,198,851.44
  5. Step 5: Solve for x
    x = 7,718,198,851.44/100,410
  6. Step 6: Final answer
    x = 76,866.83

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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.