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Finding the Fourth Proportional to 206,908.91, 310,357.23 and 57,158.21

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Solution

The fourth proportional to 206,908.91, 310,357.23 and 57,158.21 is: 85,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,908.91 : 310,357.23 = 57,158.21 : x
  2. Step 2: Convert to fraction form
    206,908.91/310,357.23 = 57,158.21/x
  3. Step 3: Cross multiply
    206,908.91x = 310,357.23 × 57,158.21
  4. Step 4: Simplify right side
    206,908.91x = 17,739,463,727.36
  5. Step 5: Solve for x
    x = 17,739,463,727.36/206,908.91
  6. Step 6: Final answer
    x = 85,735.62

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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.