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Finding the Fourth Proportional to 216,720, 299,086.86 and 121,233.12

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Solution

The fourth proportional to 216,720, 299,086.86 and 121,233.12 is: 167,309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,720 : 299,086.86 = 121,233.12 : x
  2. Step 2: Convert to fraction form
    216,720/299,086.86 = 121,233.12/x
  3. Step 3: Cross multiply
    216,720x = 299,086.86 × 121,233.12
  4. Step 4: Simplify right side
    216,720x = 36,259,233,188.80
  5. Step 5: Solve for x
    x = 36,259,233,188.80/216,720
  6. Step 6: Final answer
    x = 167,309.12

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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.