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Finding the Fourth Proportional to 99,270, 136,992.60 and 54,558

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Solution

The fourth proportional to 99,270, 136,992.60 and 54,558 is: 75,290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,270 : 136,992.60 = 54,558 : x
  2. Step 2: Convert to fraction form
    99,270/136,992.60 = 54,558/x
  3. Step 3: Cross multiply
    99,270x = 136,992.60 × 54,558
  4. Step 4: Simplify right side
    99,270x = 7,474,042,270.80
  5. Step 5: Solve for x
    x = 7,474,042,270.80/99,270
  6. Step 6: Final answer
    x = 75,290.04

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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.