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Finding the Fourth Proportional to 149,065.84, 205,719.24 and 85,414.24

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Solution

The fourth proportional to 149,065.84, 205,719.24 and 85,414.24 is: 117,876.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,065.84 : 205,719.24 = 85,414.24 : x
  2. Step 2: Convert to fraction form
    149,065.84/205,719.24 = 85,414.24/x
  3. Step 3: Cross multiply
    149,065.84x = 205,719.24 × 85,414.24
  4. Step 4: Simplify right side
    149,065.84x = 17,571,352,537.98
  5. Step 5: Solve for x
    x = 17,571,352,537.98/149,065.84
  6. Step 6: Final answer
    x = 117,876.45

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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.