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Finding the Fourth Proportional to 102,774.66, 154,162.05 and 27,894.81

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Solution

The fourth proportional to 102,774.66, 154,162.05 and 27,894.81 is: 41,842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,774.66 : 154,162.05 = 27,894.81 : x
  2. Step 2: Convert to fraction form
    102,774.66/154,162.05 = 27,894.81/x
  3. Step 3: Cross multiply
    102,774.66x = 154,162.05 × 27,894.81
  4. Step 4: Simplify right side
    102,774.66x = 4,300,321,093.96
  5. Step 5: Solve for x
    x = 4,300,321,093.96/102,774.66
  6. Step 6: Final answer
    x = 41,842.23

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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.