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Finding the Fourth Proportional to 149,085.66, 205,734.48 and 85,419.36

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Solution

The fourth proportional to 149,085.66, 205,734.48 and 85,419.36 is: 117,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,085.66 : 205,734.48 = 85,419.36 : x
  2. Step 2: Convert to fraction form
    149,085.66/205,734.48 = 85,419.36/x
  3. Step 3: Cross multiply
    149,085.66x = 205,734.48 × 85,419.36
  4. Step 4: Simplify right side
    149,085.66x = 17,573,707,611.53
  5. Step 5: Solve for x
    x = 17,573,707,611.53/149,085.66
  6. Step 6: Final answer
    x = 117,876.58

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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.