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Finding the Fourth Proportional to 174,009.20, 261,013.80 and 80,697.20

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Solution

The fourth proportional to 174,009.20, 261,013.80 and 80,697.20 is: 121,045.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,009.20 : 261,013.80 = 80,697.20 : x
  2. Step 2: Convert to fraction form
    174,009.20/261,013.80 = 80,697.20/x
  3. Step 3: Cross multiply
    174,009.20x = 261,013.80 × 80,697.20
  4. Step 4: Simplify right side
    174,009.20x = 21,063,082,821.36
  5. Step 5: Solve for x
    x = 21,063,082,821.36/174,009.20
  6. Step 6: Final answer
    x = 121,045.80

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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.