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Finding the Fourth Proportional to 109,808.30, 164,384.40 and 65,412.20

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Solution

The fourth proportional to 109,808.30, 164,384.40 and 65,412.20 is: 97,922.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,808.30 : 164,384.40 = 65,412.20 : x
  2. Step 2: Convert to fraction form
    109,808.30/164,384.40 = 65,412.20/x
  3. Step 3: Cross multiply
    109,808.30x = 164,384.40 × 65,412.20
  4. Step 4: Simplify right side
    109,808.30x = 10,752,745,249.68
  5. Step 5: Solve for x
    x = 10,752,745,249.68/109,808.30
  6. Step 6: Final answer
    x = 97,922.88

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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.