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Finding the Fourth Proportional to 137,417.20, 206,125.80 and 113,797.60

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Solution

The fourth proportional to 137,417.20, 206,125.80 and 113,797.60 is: 170,696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,417.20 : 206,125.80 = 113,797.60 : x
  2. Step 2: Convert to fraction form
    137,417.20/206,125.80 = 113,797.60/x
  3. Step 3: Cross multiply
    137,417.20x = 206,125.80 × 113,797.60
  4. Step 4: Simplify right side
    137,417.20x = 23,456,621,338.08
  5. Step 5: Solve for x
    x = 23,456,621,338.08/137,417.20
  6. Step 6: Final answer
    x = 170,696.40

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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.