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Finding the Fourth Proportional to 206,900, 310,368 and 57,140.48

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Solution

The fourth proportional to 206,900, 310,368 and 57,140.48 is: 85,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,900 : 310,368 = 57,140.48 : x
  2. Step 2: Convert to fraction form
    206,900/310,368 = 57,140.48/x
  3. Step 3: Cross multiply
    206,900x = 310,368 × 57,140.48
  4. Step 4: Simplify right side
    206,900x = 17,734,576,496.64
  5. Step 5: Solve for x
    x = 17,734,576,496.64/206,900
  6. Step 6: Final answer
    x = 85,715.69

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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.