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Finding the Fourth Proportional to 109,585.80, 164,378.70 and 99,736.20

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Solution

The fourth proportional to 109,585.80, 164,378.70 and 99,736.20 is: 149,604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,585.80 : 164,378.70 = 99,736.20 : x
  2. Step 2: Convert to fraction form
    109,585.80/164,378.70 = 99,736.20/x
  3. Step 3: Cross multiply
    109,585.80x = 164,378.70 × 99,736.20
  4. Step 4: Simplify right side
    109,585.80x = 16,394,506,898.94
  5. Step 5: Solve for x
    x = 16,394,506,898.94/109,585.80
  6. Step 6: Final answer
    x = 149,604.30

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1.5x scale

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.