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Finding the Fourth Proportional to 109,307.94, 150,914.60 and 89,212.75

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Solution

The fourth proportional to 109,307.94, 150,914.60 and 89,212.75 is: 123,170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,307.94 : 150,914.60 = 89,212.75 : x
  2. Step 2: Convert to fraction form
    109,307.94/150,914.60 = 89,212.75/x
  3. Step 3: Cross multiply
    109,307.94x = 150,914.60 × 89,212.75
  4. Step 4: Simplify right side
    109,307.94x = 13,463,506,481.15
  5. Step 5: Solve for x
    x = 13,463,506,481.15/109,307.94
  6. Step 6: Final answer
    x = 123,170.43

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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.