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Finding the Fourth Proportional to 216,696.80, 299,043.48 and 121,212.38

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Solution

The fourth proportional to 216,696.80, 299,043.48 and 121,212.38 is: 167,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,696.80 : 299,043.48 = 121,212.38 : x
  2. Step 2: Convert to fraction form
    216,696.80/299,043.48 = 121,212.38/x
  3. Step 3: Cross multiply
    216,696.80x = 299,043.48 × 121,212.38
  4. Step 4: Simplify right side
    216,696.80x = 36,247,770,439.07
  5. Step 5: Solve for x
    x = 36,247,770,439.07/216,696.80
  6. Step 6: Final answer
    x = 167,274.14

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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.