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Finding the Fourth Proportional to 116,209.85, 160,362.84 and 65,217.81

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Solution

The fourth proportional to 116,209.85, 160,362.84 and 65,217.81 is: 89,996.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,209.85 : 160,362.84 = 65,217.81 : x
  2. Step 2: Convert to fraction form
    116,209.85/160,362.84 = 65,217.81/x
  3. Step 3: Cross multiply
    116,209.85x = 160,362.84 × 65,217.81
  4. Step 4: Simplify right side
    116,209.85x = 10,458,513,230.18
  5. Step 5: Solve for x
    x = 10,458,513,230.18/116,209.85
  6. Step 6: Final answer
    x = 89,996.79

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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.