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Finding the Fourth Proportional to 153,977.80, 230,837.10 and 80,105.80

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Solution

The fourth proportional to 153,977.80, 230,837.10 and 80,105.80 is: 120,091.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,977.80 : 230,837.10 = 80,105.80 : x
  2. Step 2: Convert to fraction form
    153,977.80/230,837.10 = 80,105.80/x
  3. Step 3: Cross multiply
    153,977.80x = 230,837.10 × 80,105.80
  4. Step 4: Simplify right side
    153,977.80x = 18,491,390,565.18
  5. Step 5: Solve for x
    x = 18,491,390,565.18/153,977.80
  6. Step 6: Final answer
    x = 120,091.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.