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Finding the Fourth Proportional to 101,492.06, 140,192.91 and 77,910.14

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Solution

The fourth proportional to 101,492.06, 140,192.91 and 77,910.14 is: 107,618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,492.06 : 140,192.91 = 77,910.14 : x
  2. Step 2: Convert to fraction form
    101,492.06/140,192.91 = 77,910.14/x
  3. Step 3: Cross multiply
    101,492.06x = 140,192.91 × 77,910.14
  4. Step 4: Simplify right side
    101,492.06x = 10,922,449,245.11
  5. Step 5: Solve for x
    x = 10,922,449,245.11/101,492.06
  6. Step 6: Final answer
    x = 107,618.76

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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.