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Finding the Fourth Proportional to 137,000.40, 205,846.20 and 87,104.40

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Solution

The fourth proportional to 137,000.40, 205,846.20 and 87,104.40 is: 130,876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,000.40 : 205,846.20 = 87,104.40 : x
  2. Step 2: Convert to fraction form
    137,000.40/205,846.20 = 87,104.40/x
  3. Step 3: Cross multiply
    137,000.40x = 205,846.20 × 87,104.40
  4. Step 4: Simplify right side
    137,000.40x = 17,930,109,743.28
  5. Step 5: Solve for x
    x = 17,930,109,743.28/137,000.40
  6. Step 6: Final answer
    x = 130,876.33

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1.5x scale

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.