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Finding the Fourth Proportional to 75,104.58, 112,518.36 and 65,131.86

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Solution

The fourth proportional to 75,104.58, 112,518.36 and 65,131.86 is: 97,577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,104.58 : 112,518.36 = 65,131.86 : x
  2. Step 2: Convert to fraction form
    75,104.58/112,518.36 = 65,131.86/x
  3. Step 3: Cross multiply
    75,104.58x = 112,518.36 × 65,131.86
  4. Step 4: Simplify right side
    75,104.58x = 7,328,530,070.95
  5. Step 5: Solve for x
    x = 7,328,530,070.95/75,104.58
  6. Step 6: Final answer
    x = 97,577.67

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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.