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Finding the Fourth Proportional to 137,288.20, 205,713.60 and 101,858.80

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Solution

The fourth proportional to 137,288.20, 205,713.60 and 101,858.80 is: 152,625.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,288.20 : 205,713.60 = 101,858.80 : x
  2. Step 2: Convert to fraction form
    137,288.20/205,713.60 = 101,858.80/x
  3. Step 3: Cross multiply
    137,288.20x = 205,713.60 × 101,858.80
  4. Step 4: Simplify right side
    137,288.20x = 20,953,740,439.68
  5. Step 5: Solve for x
    x = 20,953,740,439.68/137,288.20
  6. Step 6: Final answer
    x = 152,625.94

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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.