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Finding the Fourth Proportional to 109,852.30, 164,450.40 and 65,456.20

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Solution

The fourth proportional to 109,852.30, 164,450.40 and 65,456.20 is: 97,988.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,852.30 : 164,450.40 = 65,456.20 : x
  2. Step 2: Convert to fraction form
    109,852.30/164,450.40 = 65,456.20/x
  3. Step 3: Cross multiply
    109,852.30x = 164,450.40 × 65,456.20
  4. Step 4: Simplify right side
    109,852.30x = 10,764,298,272.48
  5. Step 5: Solve for x
    x = 10,764,298,272.48/109,852.30
  6. Step 6: Final answer
    x = 97,988.83

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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.