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Finding the Fourth Proportional to 209,703.57, 289,189.76 and 140,948.61

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Solution

The fourth proportional to 209,703.57, 289,189.76 and 140,948.61 is: 194,373.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,703.57 : 289,189.76 = 140,948.61 : x
  2. Step 2: Convert to fraction form
    209,703.57/289,189.76 = 140,948.61/x
  3. Step 3: Cross multiply
    209,703.57x = 289,189.76 × 140,948.61
  4. Step 4: Simplify right side
    209,703.57x = 40,760,893,993.49
  5. Step 5: Solve for x
    x = 40,760,893,993.49/209,703.57
  6. Step 6: Final answer
    x = 194,373.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.