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Finding the Fourth Proportional to 83,969.65, 116,025.66 and 67,113

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Solution

The fourth proportional to 83,969.65, 116,025.66 and 67,113 is: 92,733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,969.65 : 116,025.66 = 67,113 : x
  2. Step 2: Convert to fraction form
    83,969.65/116,025.66 = 67,113/x
  3. Step 3: Cross multiply
    83,969.65x = 116,025.66 × 67,113
  4. Step 4: Simplify right side
    83,969.65x = 7,786,830,119.58
  5. Step 5: Solve for x
    x = 7,786,830,119.58/83,969.65
  6. Step 6: Final answer
    x = 92,733.87

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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.