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Finding the Fourth Proportional to 218,794.70, 301,992.86 and 142,503.90

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Solution

The fourth proportional to 218,794.70, 301,992.86 and 142,503.90 is: 196,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,794.70 : 301,992.86 = 142,503.90 : x
  2. Step 2: Convert to fraction form
    218,794.70/301,992.86 = 142,503.90/x
  3. Step 3: Cross multiply
    218,794.70x = 301,992.86 × 142,503.90
  4. Step 4: Simplify right side
    218,794.70x = 43,035,160,322.15
  5. Step 5: Solve for x
    x = 43,035,160,322.15/218,794.70
  6. Step 6: Final answer
    x = 196,691.97

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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.