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Finding the Fourth Proportional to 83,530.40, 125,289.84 and 39,167

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Solution

The fourth proportional to 83,530.40, 125,289.84 and 39,167 is: 58,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,530.40 : 125,289.84 = 39,167 : x
  2. Step 2: Convert to fraction form
    83,530.40/125,289.84 = 39,167/x
  3. Step 3: Cross multiply
    83,530.40x = 125,289.84 × 39,167
  4. Step 4: Simplify right side
    83,530.40x = 4,907,227,163.28
  5. Step 5: Solve for x
    x = 4,907,227,163.28/83,530.40
  6. Step 6: Final answer
    x = 58,747.80

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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.