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Finding the Fourth Proportional to 137,894.40, 206,647.20 and 85,147.20

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Solution

The fourth proportional to 137,894.40, 206,647.20 and 85,147.20 is: 127,600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,894.40 : 206,647.20 = 85,147.20 : x
  2. Step 2: Convert to fraction form
    137,894.40/206,647.20 = 85,147.20/x
  3. Step 3: Cross multiply
    137,894.40x = 206,647.20 × 85,147.20
  4. Step 4: Simplify right side
    137,894.40x = 17,595,430,467.84
  5. Step 5: Solve for x
    x = 17,595,430,467.84/137,894.40
  6. Step 6: Final answer
    x = 127,600.76

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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.