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Finding the Fourth Proportional to 205,046.10, 307,569.15 and 125,903.70

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Solution

The fourth proportional to 205,046.10, 307,569.15 and 125,903.70 is: 188,855.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,046.10 : 307,569.15 = 125,903.70 : x
  2. Step 2: Convert to fraction form
    205,046.10/307,569.15 = 125,903.70/x
  3. Step 3: Cross multiply
    205,046.10x = 307,569.15 × 125,903.70
  4. Step 4: Simplify right side
    205,046.10x = 38,724,093,990.86
  5. Step 5: Solve for x
    x = 38,724,093,990.86/205,046.10
  6. Step 6: Final answer
    x = 188,855.55

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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.