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Finding the Fourth Proportional to 206,757.37, 310,257.93 and 86,835.36

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Solution

The fourth proportional to 206,757.37, 310,257.93 and 86,835.36 is: 130,304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,757.37 : 310,257.93 = 86,835.36 : x
  2. Step 2: Convert to fraction form
    206,757.37/310,257.93 = 86,835.36/x
  3. Step 3: Cross multiply
    206,757.37x = 310,257.93 × 86,835.36
  4. Step 4: Simplify right side
    206,757.37x = 26,941,359,044.40
  5. Step 5: Solve for x
    x = 26,941,359,044.40/206,757.37
  6. Step 6: Final answer
    x = 130,304.23

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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.