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Finding the Fourth Proportional to 149,120, 205,679.28 and 91,684.08

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Solution

The fourth proportional to 149,120, 205,679.28 and 91,684.08 is: 126,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,120 : 205,679.28 = 91,684.08 : x
  2. Step 2: Convert to fraction form
    149,120/205,679.28 = 91,684.08/x
  3. Step 3: Cross multiply
    149,120x = 205,679.28 × 91,684.08
  4. Step 4: Simplify right side
    149,120x = 18,857,515,561.86
  5. Step 5: Solve for x
    x = 18,857,515,561.86/149,120
  6. Step 6: Final answer
    x = 126,458.66

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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.