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Finding the Fourth Proportional to 149,767.94, 206,662.77 and 86,126.24

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Solution

The fourth proportional to 149,767.94, 206,662.77 and 86,126.24 is: 118,844.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,767.94 : 206,662.77 = 86,126.24 : x
  2. Step 2: Convert to fraction form
    149,767.94/206,662.77 = 86,126.24/x
  3. Step 3: Cross multiply
    149,767.94x = 206,662.77 × 86,126.24
  4. Step 4: Simplify right side
    149,767.94x = 17,799,086,294.77
  5. Step 5: Solve for x
    x = 17,799,086,294.77/149,767.94
  6. Step 6: Final answer
    x = 118,844.44

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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.