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Finding the Fourth Proportional to 149,797.08, 206,720.24 and 85,264.11

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Solution

The fourth proportional to 149,797.08, 206,720.24 and 85,264.11 is: 117,664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,797.08 : 206,720.24 = 85,264.11 : x
  2. Step 2: Convert to fraction form
    149,797.08/206,720.24 = 85,264.11/x
  3. Step 3: Cross multiply
    149,797.08x = 206,720.24 × 85,264.11
  4. Step 4: Simplify right side
    149,797.08x = 17,625,816,856.27
  5. Step 5: Solve for x
    x = 17,625,816,856.27/149,797.08
  6. Step 6: Final answer
    x = 117,664.62

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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.