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Finding the Fourth Proportional to 102,670.74, 154,006.11 and 67,161.92

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Solution

The fourth proportional to 102,670.74, 154,006.11 and 67,161.92 is: 100,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,670.74 : 154,006.11 = 67,161.92 : x
  2. Step 2: Convert to fraction form
    102,670.74/154,006.11 = 67,161.92/x
  3. Step 3: Cross multiply
    102,670.74x = 154,006.11 × 67,161.92
  4. Step 4: Simplify right side
    102,670.74x = 10,343,345,269.30
  5. Step 5: Solve for x
    x = 10,343,345,269.30/102,670.74
  6. Step 6: Final answer
    x = 100,742.87

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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.