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Finding the Fourth Proportional to 205,098.40, 307,820.40 and 100,007.20

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Solution

The fourth proportional to 205,098.40, 307,820.40 and 100,007.20 is: 150,095.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,098.40 : 307,820.40 = 100,007.20 : x
  2. Step 2: Convert to fraction form
    205,098.40/307,820.40 = 100,007.20/x
  3. Step 3: Cross multiply
    205,098.40x = 307,820.40 × 100,007.20
  4. Step 4: Simplify right side
    205,098.40x = 30,784,256,306.88
  5. Step 5: Solve for x
    x = 30,784,256,306.88/205,098.40
  6. Step 6: Final answer
    x = 150,095.06

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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.