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Finding the Fourth Proportional to 109,705.80, 164,558.70 and 91,991.10

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Solution

The fourth proportional to 109,705.80, 164,558.70 and 91,991.10 is: 137,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,705.80 : 164,558.70 = 91,991.10 : x
  2. Step 2: Convert to fraction form
    109,705.80/164,558.70 = 91,991.10/x
  3. Step 3: Cross multiply
    109,705.80x = 164,558.70 × 91,991.10
  4. Step 4: Simplify right side
    109,705.80x = 15,137,935,827.57
  5. Step 5: Solve for x
    x = 15,137,935,827.57/109,705.80
  6. Step 6: Final answer
    x = 137,986.65

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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.