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Finding the Fourth Proportional to 174,438.40, 261,964.80 and 135,091.20

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Solution

The fourth proportional to 174,438.40, 261,964.80 and 135,091.20 is: 202,874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,438.40 : 261,964.80 = 135,091.20 : x
  2. Step 2: Convert to fraction form
    174,438.40/261,964.80 = 135,091.20/x
  3. Step 3: Cross multiply
    174,438.40x = 261,964.80 × 135,091.20
  4. Step 4: Simplify right side
    174,438.40x = 35,389,139,189.76
  5. Step 5: Solve for x
    x = 35,389,139,189.76/174,438.40
  6. Step 6: Final answer
    x = 202,874.71

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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.