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Finding the Fourth Proportional to 137,221.40, 206,177.70 and 87,325.40

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Solution

The fourth proportional to 137,221.40, 206,177.70 and 87,325.40 is: 131,208.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,221.40 : 206,177.70 = 87,325.40 : x
  2. Step 2: Convert to fraction form
    137,221.40/206,177.70 = 87,325.40/x
  3. Step 3: Cross multiply
    137,221.40x = 206,177.70 × 87,325.40
  4. Step 4: Simplify right side
    137,221.40x = 18,004,550,123.58
  5. Step 5: Solve for x
    x = 18,004,550,123.58/137,221.40
  6. Step 6: Final answer
    x = 131,208.03

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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.