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Finding the Fourth Proportional to 216,868.51, 299,278.50 and 121,375.20

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Solution

The fourth proportional to 216,868.51, 299,278.50 and 121,375.20 is: 167,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,868.51 : 299,278.50 = 121,375.20 : x
  2. Step 2: Convert to fraction form
    216,868.51/299,278.50 = 121,375.20/x
  3. Step 3: Cross multiply
    216,868.51x = 299,278.50 × 121,375.20
  4. Step 4: Simplify right side
    216,868.51x = 36,324,987,793.20
  5. Step 5: Solve for x
    x = 36,324,987,793.20/216,868.51
  6. Step 6: Final answer
    x = 167,497.75

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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.