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Finding the Fourth Proportional to 137,285.20, 205,709.10 and 101,855.80

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Solution

The fourth proportional to 137,285.20, 205,709.10 and 101,855.80 is: 152,621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,285.20 : 205,709.10 = 101,855.80 : x
  2. Step 2: Convert to fraction form
    137,285.20/205,709.10 = 101,855.80/x
  3. Step 3: Cross multiply
    137,285.20x = 205,709.10 × 101,855.80
  4. Step 4: Simplify right side
    137,285.20x = 20,952,664,947.78
  5. Step 5: Solve for x
    x = 20,952,664,947.78/137,285.20
  6. Step 6: Final answer
    x = 152,621.44

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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.