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Finding the Fourth Proportional to 206,622.78, 285,158.95 and 120,574.81

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Solution

The fourth proportional to 206,622.78, 285,158.95 and 120,574.81 is: 166,404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,622.78 : 285,158.95 = 120,574.81 : x
  2. Step 2: Convert to fraction form
    206,622.78/285,158.95 = 120,574.81/x
  3. Step 3: Cross multiply
    206,622.78x = 285,158.95 × 120,574.81
  4. Step 4: Simplify right side
    206,622.78x = 34,382,984,187.38
  5. Step 5: Solve for x
    x = 34,382,984,187.38/206,622.78
  6. Step 6: Final answer
    x = 166,404.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.