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Finding the Fourth Proportional to 121,696.24, 167,935.80 and 67,981

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Solution

The fourth proportional to 121,696.24, 167,935.80 and 67,981 is: 93,810.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,696.24 : 167,935.80 = 67,981 : x
  2. Step 2: Convert to fraction form
    121,696.24/167,935.80 = 67,981/x
  3. Step 3: Cross multiply
    121,696.24x = 167,935.80 × 67,981
  4. Step 4: Simplify right side
    121,696.24x = 11,416,443,619.80
  5. Step 5: Solve for x
    x = 11,416,443,619.80/121,696.24
  6. Step 6: Final answer
    x = 93,810.98

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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.