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Finding the Fourth Proportional to 100,206, 138,281.76 and 54,884.04

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Solution

The fourth proportional to 100,206, 138,281.76 and 54,884.04 is: 75,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,206 : 138,281.76 = 54,884.04 : x
  2. Step 2: Convert to fraction form
    100,206/138,281.76 = 54,884.04/x
  3. Step 3: Cross multiply
    100,206x = 138,281.76 × 54,884.04
  4. Step 4: Simplify right side
    100,206x = 7,589,461,647.11
  5. Step 5: Solve for x
    x = 7,589,461,647.11/100,206
  6. Step 6: Final answer
    x = 75,738.59

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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.