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Finding the Fourth Proportional to 231,069.96, 318,866.76 and 145,073.88

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Solution

The fourth proportional to 231,069.96, 318,866.76 and 145,073.88 is: 200,195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,069.96 : 318,866.76 = 145,073.88 : x
  2. Step 2: Convert to fraction form
    231,069.96/318,866.76 = 145,073.88/x
  3. Step 3: Cross multiply
    231,069.96x = 318,866.76 × 145,073.88
  4. Step 4: Simplify right side
    231,069.96x = 46,259,238,076.23
  5. Step 5: Solve for x
    x = 46,259,238,076.23/231,069.96
  6. Step 6: Final answer
    x = 200,195.81

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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.