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Finding the Fourth Proportional to 102,901.31, 154,351.97 and 67,832.77

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Solution

The fourth proportional to 102,901.31, 154,351.97 and 67,832.77 is: 101,749.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,901.31 : 154,351.97 = 67,832.77 : x
  2. Step 2: Convert to fraction form
    102,901.31/154,351.97 = 67,832.77/x
  3. Step 3: Cross multiply
    102,901.31x = 154,351.97 × 67,832.77
  4. Step 4: Simplify right side
    102,901.31x = 10,470,121,680.06
  5. Step 5: Solve for x
    x = 10,470,121,680.06/102,901.31
  6. Step 6: Final answer
    x = 101,749.16

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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.