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Finding the Fourth Proportional to 109,863.80, 164,990.10 and 84,964.40

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Solution

The fourth proportional to 109,863.80, 164,990.10 and 84,964.40 is: 127,596.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,863.80 : 164,990.10 = 84,964.40 : x
  2. Step 2: Convert to fraction form
    109,863.80/164,990.10 = 84,964.40/x
  3. Step 3: Cross multiply
    109,863.80x = 164,990.10 × 84,964.40
  4. Step 4: Simplify right side
    109,863.80x = 14,018,284,852.44
  5. Step 5: Solve for x
    x = 14,018,284,852.44/109,863.80
  6. Step 6: Final answer
    x = 127,596.94

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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.