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Finding the Fourth Proportional to 149,857.34, 206,809.34 and 86,195.21

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Solution

The fourth proportional to 149,857.34, 206,809.34 and 86,195.21 is: 118,952.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,857.34 : 206,809.34 = 86,195.21 : x
  2. Step 2: Convert to fraction form
    149,857.34/206,809.34 = 86,195.21/x
  3. Step 3: Cross multiply
    149,857.34x = 206,809.34 × 86,195.21
  4. Step 4: Simplify right side
    149,857.34x = 17,825,973,026.24
  5. Step 5: Solve for x
    x = 17,825,973,026.24/149,857.34
  6. Step 6: Final answer
    x = 118,952.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.