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Finding the Fourth Proportional to 205,298.40, 308,120.40 and 100,207.20

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Solution

The fourth proportional to 205,298.40, 308,120.40 and 100,207.20 is: 150,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,298.40 : 308,120.40 = 100,207.20 : x
  2. Step 2: Convert to fraction form
    205,298.40/308,120.40 = 100,207.20/x
  3. Step 3: Cross multiply
    205,298.40x = 308,120.40 × 100,207.20
  4. Step 4: Simplify right side
    205,298.40x = 30,875,882,546.88
  5. Step 5: Solve for x
    x = 30,875,882,546.88/205,298.40
  6. Step 6: Final answer
    x = 150,395.14

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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.