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Finding the Fourth Proportional to 218,103.36, 300,978.68 and 121,306.74

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Solution

The fourth proportional to 218,103.36, 300,978.68 and 121,306.74 is: 167,401.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,103.36 : 300,978.68 = 121,306.74 : x
  2. Step 2: Convert to fraction form
    218,103.36/300,978.68 = 121,306.74/x
  3. Step 3: Cross multiply
    218,103.36x = 300,978.68 × 121,306.74
  4. Step 4: Simplify right side
    218,103.36x = 36,510,741,873.77
  5. Step 5: Solve for x
    x = 36,510,741,873.77/218,103.36
  6. Step 6: Final answer
    x = 167,401.10

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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.