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Finding the Fourth Proportional to 153,978.30, 230,837.85 and 80,106.30

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Solution

The fourth proportional to 153,978.30, 230,837.85 and 80,106.30 is: 120,092.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,978.30 : 230,837.85 = 80,106.30 : x
  2. Step 2: Convert to fraction form
    153,978.30/230,837.85 = 80,106.30/x
  3. Step 3: Cross multiply
    153,978.30x = 230,837.85 × 80,106.30
  4. Step 4: Simplify right side
    153,978.30x = 18,491,566,063.46
  5. Step 5: Solve for x
    x = 18,491,566,063.46/153,978.30
  6. Step 6: Final answer
    x = 120,092.03

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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.