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Finding the Fourth Proportional to 109,662.80, 164,494.20 and 91,948.10

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Solution

The fourth proportional to 109,662.80, 164,494.20 and 91,948.10 is: 137,922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,662.80 : 164,494.20 = 91,948.10 : x
  2. Step 2: Convert to fraction form
    109,662.80/164,494.20 = 91,948.10/x
  3. Step 3: Cross multiply
    109,662.80x = 164,494.20 × 91,948.10
  4. Step 4: Simplify right side
    109,662.80x = 15,124,929,151.02
  5. Step 5: Solve for x
    x = 15,124,929,151.02/109,662.80
  6. Step 6: Final answer
    x = 137,922.15

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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.