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Finding the Fourth Proportional to 206,331.77, 309,448.42 and 106,440.55

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Solution

The fourth proportional to 206,331.77, 309,448.42 and 106,440.55 is: 159,635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,331.77 : 309,448.42 = 106,440.55 : x
  2. Step 2: Convert to fraction form
    206,331.77/309,448.42 = 106,440.55/x
  3. Step 3: Cross multiply
    206,331.77x = 309,448.42 × 106,440.55
  4. Step 4: Simplify right side
    206,331.77x = 32,937,858,981.71
  5. Step 5: Solve for x
    x = 32,937,858,981.71/206,331.77
  6. Step 6: Final answer
    x = 159,635.42

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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.