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Finding the Fourth Proportional to 149,086.26, 205,746.21 and 85,424.22

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Solution

The fourth proportional to 149,086.26, 205,746.21 and 85,424.22 is: 117,889.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,086.26 : 205,746.21 = 85,424.22 : x
  2. Step 2: Convert to fraction form
    149,086.26/205,746.21 = 85,424.22/x
  3. Step 3: Cross multiply
    149,086.26x = 205,746.21 × 85,424.22
  4. Step 4: Simplify right side
    149,086.26x = 17,575,709,507.21
  5. Step 5: Solve for x
    x = 17,575,709,507.21/149,086.26
  6. Step 6: Final answer
    x = 117,889.53

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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.