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Finding the Fourth Proportional to 109,309.95, 150,917.37 and 89,214.75

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Solution

The fourth proportional to 109,309.95, 150,917.37 and 89,214.75 is: 123,173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,309.95 : 150,917.37 = 89,214.75 : x
  2. Step 2: Convert to fraction form
    109,309.95/150,917.37 = 89,214.75/x
  3. Step 3: Cross multiply
    109,309.95x = 150,917.37 × 89,214.75
  4. Step 4: Simplify right side
    109,309.95x = 13,464,055,435.21
  5. Step 5: Solve for x
    x = 13,464,055,435.21/109,309.95
  6. Step 6: Final answer
    x = 123,173.19

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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.