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Finding the Fourth Proportional to 207,947.20, 311,920.80 and 102,744.40

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Solution

The fourth proportional to 207,947.20, 311,920.80 and 102,744.40 is: 154,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,947.20 : 311,920.80 = 102,744.40 : x
  2. Step 2: Convert to fraction form
    207,947.20/311,920.80 = 102,744.40/x
  3. Step 3: Cross multiply
    207,947.20x = 311,920.80 × 102,744.40
  4. Step 4: Simplify right side
    207,947.20x = 32,048,115,443.52
  5. Step 5: Solve for x
    x = 32,048,115,443.52/207,947.20
  6. Step 6: Final answer
    x = 154,116.60

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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.