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Finding the Fourth Proportional to 109,413, 150,914.96 and 66,992.48

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Solution

The fourth proportional to 109,413, 150,914.96 and 66,992.48 is: 92,403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,413 : 150,914.96 = 66,992.48 : x
  2. Step 2: Convert to fraction form
    109,413/150,914.96 = 66,992.48/x
  3. Step 3: Cross multiply
    109,413x = 150,914.96 × 66,992.48
  4. Step 4: Simplify right side
    109,413x = 10,110,167,439.50
  5. Step 5: Solve for x
    x = 10,110,167,439.50/109,413
  6. Step 6: Final answer
    x = 92,403.71

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1.5x scale

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.