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Finding the Fourth Proportional to 218,806.96, 301,890.62 and 142,438.45

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Solution

The fourth proportional to 218,806.96, 301,890.62 and 142,438.45 is: 196,524.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,806.96 : 301,890.62 = 142,438.45 : x
  2. Step 2: Convert to fraction form
    218,806.96/301,890.62 = 142,438.45/x
  3. Step 3: Cross multiply
    218,806.96x = 301,890.62 × 142,438.45
  4. Step 4: Simplify right side
    218,806.96x = 43,000,829,760.69
  5. Step 5: Solve for x
    x = 43,000,829,760.69/218,806.96
  6. Step 6: Final answer
    x = 196,524.05

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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.