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Finding the Fourth Proportional to 149,093.64, 205,641.72 and 85,408.20

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Solution

The fourth proportional to 149,093.64, 205,641.72 and 85,408.20 is: 117,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,093.64 : 205,641.72 = 85,408.20 : x
  2. Step 2: Convert to fraction form
    149,093.64/205,641.72 = 85,408.20/x
  3. Step 3: Cross multiply
    149,093.64x = 205,641.72 × 85,408.20
  4. Step 4: Simplify right side
    149,093.64x = 17,563,489,150.10
  5. Step 5: Solve for x
    x = 17,563,489,150.10/149,093.64
  6. Step 6: Final answer
    x = 117,801.73

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1.5x scale

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.