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Finding the Fourth Proportional to 102,761.70, 154,154.92 and 36,188.08

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Solution

The fourth proportional to 102,761.70, 154,154.92 and 36,188.08 is: 54,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,761.70 : 154,154.92 = 36,188.08 : x
  2. Step 2: Convert to fraction form
    102,761.70/154,154.92 = 36,188.08/x
  3. Step 3: Cross multiply
    102,761.70x = 154,154.92 × 36,188.08
  4. Step 4: Simplify right side
    102,761.70x = 5,578,570,577.35
  5. Step 5: Solve for x
    x = 5,578,570,577.35/102,761.70
  6. Step 6: Final answer
    x = 54,286.48

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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.