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Finding the Fourth Proportional to 207,269.20, 310,903.80 and 137,227.60

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Solution

The fourth proportional to 207,269.20, 310,903.80 and 137,227.60 is: 205,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,269.20 : 310,903.80 = 137,227.60 : x
  2. Step 2: Convert to fraction form
    207,269.20/310,903.80 = 137,227.60/x
  3. Step 3: Cross multiply
    207,269.20x = 310,903.80 × 137,227.60
  4. Step 4: Simplify right side
    207,269.20x = 42,664,582,304.88
  5. Step 5: Solve for x
    x = 42,664,582,304.88/207,269.20
  6. Step 6: Final answer
    x = 205,841.40

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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.