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Finding the Fourth Proportional to 205,807.76, 309,228.24 and 130,960.40

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Solution

The fourth proportional to 205,807.76, 309,228.24 and 130,960.40 is: 196,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,807.76 : 309,228.24 = 130,960.40 : x
  2. Step 2: Convert to fraction form
    205,807.76/309,228.24 = 130,960.40/x
  3. Step 3: Cross multiply
    205,807.76x = 309,228.24 × 130,960.40
  4. Step 4: Simplify right side
    205,807.76x = 40,496,654,001.70
  5. Step 5: Solve for x
    x = 40,496,654,001.70/205,807.76
  6. Step 6: Final answer
    x = 196,769.32

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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.