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Finding the Fourth Proportional to 149,017.29, 205,649.27 and 85,367.39

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Solution

The fourth proportional to 149,017.29, 205,649.27 and 85,367.39 is: 117,810.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,017.29 : 205,649.27 = 85,367.39 : x
  2. Step 2: Convert to fraction form
    149,017.29/205,649.27 = 85,367.39/x
  3. Step 3: Cross multiply
    149,017.29x = 205,649.27 × 85,367.39
  4. Step 4: Simplify right side
    149,017.29x = 17,555,741,435.31
  5. Step 5: Solve for x
    x = 17,555,741,435.31/149,017.29
  6. Step 6: Final answer
    x = 117,810.10

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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.