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Finding the Fourth Proportional to 120,237.89, 165,981.44 and 71,856.89

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Solution

The fourth proportional to 120,237.89, 165,981.44 and 71,856.89 is: 99,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,237.89 : 165,981.44 = 71,856.89 : x
  2. Step 2: Convert to fraction form
    120,237.89/165,981.44 = 71,856.89/x
  3. Step 3: Cross multiply
    120,237.89x = 165,981.44 × 71,856.89
  4. Step 4: Simplify right side
    120,237.89x = 11,926,910,076.12
  5. Step 5: Solve for x
    x = 11,926,910,076.12/120,237.89
  6. Step 6: Final answer
    x = 99,194.27

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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.