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Finding the Fourth Proportional to 209,159.81, 313,747.07 and 67,009.40

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Solution

The fourth proportional to 209,159.81, 313,747.07 and 67,009.40 is: 100,516.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,159.81 : 313,747.07 = 67,009.40 : x
  2. Step 2: Convert to fraction form
    209,159.81/313,747.07 = 67,009.40/x
  3. Step 3: Cross multiply
    209,159.81x = 313,747.07 × 67,009.40
  4. Step 4: Simplify right side
    209,159.81x = 21,024,002,912.46
  5. Step 5: Solve for x
    x = 21,024,002,912.46/209,159.81
  6. Step 6: Final answer
    x = 100,516.46

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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.