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Finding the Fourth Proportional to 137,286.20, 205,710.60 and 101,856.80

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Solution

The fourth proportional to 137,286.20, 205,710.60 and 101,856.80 is: 152,622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,286.20 : 205,710.60 = 101,856.80 : x
  2. Step 2: Convert to fraction form
    137,286.20/205,710.60 = 101,856.80/x
  3. Step 3: Cross multiply
    137,286.20x = 205,710.60 × 101,856.80
  4. Step 4: Simplify right side
    137,286.20x = 20,953,023,442.08
  5. Step 5: Solve for x
    x = 20,953,023,442.08/137,286.20
  6. Step 6: Final answer
    x = 152,622.94

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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.