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Finding the Fourth Proportional to 193,990.42, 290,968.31 and 67,609.16

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Solution

The fourth proportional to 193,990.42, 290,968.31 and 67,609.16 is: 101,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,990.42 : 290,968.31 = 67,609.16 : x
  2. Step 2: Convert to fraction form
    193,990.42/290,968.31 = 67,609.16/x
  3. Step 3: Cross multiply
    193,990.42x = 290,968.31 × 67,609.16
  4. Step 4: Simplify right side
    193,990.42x = 19,672,123,025.72
  5. Step 5: Solve for x
    x = 19,672,123,025.72/193,990.42
  6. Step 6: Final answer
    x = 101,407.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.