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Finding the Fourth Proportional to 174,408.40, 261,094.20 and 115,310.80

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Solution

The fourth proportional to 174,408.40, 261,094.20 and 115,310.80 is: 172,623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,408.40 : 261,094.20 = 115,310.80 : x
  2. Step 2: Convert to fraction form
    174,408.40/261,094.20 = 115,310.80/x
  3. Step 3: Cross multiply
    174,408.40x = 261,094.20 × 115,310.80
  4. Step 4: Simplify right side
    174,408.40x = 30,106,981,077.36
  5. Step 5: Solve for x
    x = 30,106,981,077.36/174,408.40
  6. Step 6: Final answer
    x = 172,623.46

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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.