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Finding the Fourth Proportional to 205,150.40, 307,552.80 and 106,654.40

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Solution

The fourth proportional to 205,150.40, 307,552.80 and 106,654.40 is: 159,891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,150.40 : 307,552.80 = 106,654.40 : x
  2. Step 2: Convert to fraction form
    205,150.40/307,552.80 = 106,654.40/x
  3. Step 3: Cross multiply
    205,150.40x = 307,552.80 × 106,654.40
  4. Step 4: Simplify right side
    205,150.40x = 32,801,859,352.32
  5. Step 5: Solve for x
    x = 32,801,859,352.32/205,150.40
  6. Step 6: Final answer
    x = 159,891.76

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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.