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Finding the Fourth Proportional to 99,268, 136,989.84 and 54,556

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Solution

The fourth proportional to 99,268, 136,989.84 and 54,556 is: 75,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,268 : 136,989.84 = 54,556 : x
  2. Step 2: Convert to fraction form
    99,268/136,989.84 = 54,556/x
  3. Step 3: Cross multiply
    99,268x = 136,989.84 × 54,556
  4. Step 4: Simplify right side
    99,268x = 7,473,617,711.04
  5. Step 5: Solve for x
    x = 7,473,617,711.04/99,268
  6. Step 6: Final answer
    x = 75,287.28

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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.