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Finding the Fourth Proportional to 109,663.60, 164,121.11 and 91,914.31

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Solution

The fourth proportional to 109,663.60, 164,121.11 and 91,914.31 is: 137,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,663.60 : 164,121.11 = 91,914.31 : x
  2. Step 2: Convert to fraction form
    109,663.60/164,121.11 = 91,914.31/x
  3. Step 3: Cross multiply
    109,663.60x = 164,121.11 × 91,914.31
  4. Step 4: Simplify right side
    109,663.60x = 15,085,078,582.08
  5. Step 5: Solve for x
    x = 15,085,078,582.08/109,663.60
  6. Step 6: Final answer
    x = 137,557.75

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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.