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Finding the Fourth Proportional to 89,825.90, 134,751.14 and 30,645.68

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Solution

The fourth proportional to 89,825.90, 134,751.14 and 30,645.68 is: 45,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,825.90 : 134,751.14 = 30,645.68 : x
  2. Step 2: Convert to fraction form
    89,825.90/134,751.14 = 30,645.68/x
  3. Step 3: Cross multiply
    89,825.90x = 134,751.14 × 30,645.68
  4. Step 4: Simplify right side
    89,825.90x = 4,129,539,489.09
  5. Step 5: Solve for x
    x = 4,129,539,489.09/89,825.90
  6. Step 6: Final answer
    x = 45,972.71

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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.