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Finding the Fourth Proportional to 109,912.75, 151,747.63 and 84,370.21

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Solution

The fourth proportional to 109,912.75, 151,747.63 and 84,370.21 is: 116,483.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,912.75 : 151,747.63 = 84,370.21 : x
  2. Step 2: Convert to fraction form
    109,912.75/151,747.63 = 84,370.21/x
  3. Step 3: Cross multiply
    109,912.75x = 151,747.63 × 84,370.21
  4. Step 4: Simplify right side
    109,912.75x = 12,802,978,819.81
  5. Step 5: Solve for x
    x = 12,802,978,819.81/109,912.75
  6. Step 6: Final answer
    x = 116,483.11

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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.