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Finding the Fourth Proportional to 206,815.24, 310,185.90 and 55,013.14

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Solution

The fourth proportional to 206,815.24, 310,185.90 and 55,013.14 is: 82,509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,815.24 : 310,185.90 = 55,013.14 : x
  2. Step 2: Convert to fraction form
    206,815.24/310,185.90 = 55,013.14/x
  3. Step 3: Cross multiply
    206,815.24x = 310,185.90 × 55,013.14
  4. Step 4: Simplify right side
    206,815.24x = 17,064,299,567.26
  5. Step 5: Solve for x
    x = 17,064,299,567.26/206,815.24
  6. Step 6: Final answer
    x = 82,509.88

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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.