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Finding the Fourth Proportional to 207,299.91, 310,972.10 and 57,540.84

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Solution

The fourth proportional to 207,299.91, 310,972.10 and 57,540.84 is: 86,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,299.91 : 310,972.10 = 57,540.84 : x
  2. Step 2: Convert to fraction form
    207,299.91/310,972.10 = 57,540.84/x
  3. Step 3: Cross multiply
    207,299.91x = 310,972.10 × 57,540.84
  4. Step 4: Simplify right side
    207,299.91x = 17,893,594,396.71
  5. Step 5: Solve for x
    x = 17,893,594,396.71/207,299.91
  6. Step 6: Final answer
    x = 86,317.42

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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.