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Finding the Fourth Proportional to 259,770.34, 389,584.02 and 88,989.53

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Solution

The fourth proportional to 259,770.34, 389,584.02 and 88,989.53 is: 133,459.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,770.34 : 389,584.02 = 88,989.53 : x
  2. Step 2: Convert to fraction form
    259,770.34/389,584.02 = 88,989.53/x
  3. Step 3: Cross multiply
    259,770.34x = 389,584.02 × 88,989.53
  4. Step 4: Simplify right side
    259,770.34x = 34,668,898,835.31
  5. Step 5: Solve for x
    x = 34,668,898,835.31/259,770.34
  6. Step 6: Final answer
    x = 133,459.81

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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.