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Finding the Fourth Proportional to 205,096.40, 307,817.40 and 100,005.20

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Solution

The fourth proportional to 205,096.40, 307,817.40 and 100,005.20 is: 150,092.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,096.40 : 307,817.40 = 100,005.20 : x
  2. Step 2: Convert to fraction form
    205,096.40/307,817.40 = 100,005.20/x
  3. Step 3: Cross multiply
    205,096.40x = 307,817.40 × 100,005.20
  4. Step 4: Simplify right side
    205,096.40x = 30,783,340,650.48
  5. Step 5: Solve for x
    x = 30,783,340,650.48/205,096.40
  6. Step 6: Final answer
    x = 150,092.06

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1.5x scale

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.