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Finding the Fourth Proportional to 109,415.60, 164,123.40 and 91,919.60

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Solution

The fourth proportional to 109,415.60, 164,123.40 and 91,919.60 is: 137,879.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,415.60 : 164,123.40 = 91,919.60 : x
  2. Step 2: Convert to fraction form
    109,415.60/164,123.40 = 91,919.60/x
  3. Step 3: Cross multiply
    109,415.60x = 164,123.40 × 91,919.60
  4. Step 4: Simplify right side
    109,415.60x = 15,086,157,278.64
  5. Step 5: Solve for x
    x = 15,086,157,278.64/109,415.60
  6. Step 6: Final answer
    x = 137,879.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.