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Finding the Fourth Proportional to 149,720.68, 206,598.90 and 86,067.64

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Solution

The fourth proportional to 149,720.68, 206,598.90 and 86,067.64 is: 118,764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,720.68 : 206,598.90 = 86,067.64 : x
  2. Step 2: Convert to fraction form
    149,720.68/206,598.90 = 86,067.64/x
  3. Step 3: Cross multiply
    149,720.68x = 206,598.90 × 86,067.64
  4. Step 4: Simplify right side
    149,720.68x = 17,781,479,749.60
  5. Step 5: Solve for x
    x = 17,781,479,749.60/149,720.68
  6. Step 6: Final answer
    x = 118,764.35

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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.