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Finding the Fourth Proportional to 75,311.22, 112,788.70 and 65,396.62

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Solution

The fourth proportional to 75,311.22, 112,788.70 and 65,396.62 is: 97,940.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,311.22 : 112,788.70 = 65,396.62 : x
  2. Step 2: Convert to fraction form
    75,311.22/112,788.70 = 65,396.62/x
  3. Step 3: Cross multiply
    75,311.22x = 112,788.70 × 65,396.62
  4. Step 4: Simplify right side
    75,311.22x = 7,375,999,754.19
  5. Step 5: Solve for x
    x = 7,375,999,754.19/75,311.22
  6. Step 6: Final answer
    x = 97,940.25

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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.