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Finding the Fourth Proportional to 149,046.24, 205,683.60 and 81,978.24

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Solution

The fourth proportional to 149,046.24, 205,683.60 and 81,978.24 is: 113,129.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,046.24 : 205,683.60 = 81,978.24 : x
  2. Step 2: Convert to fraction form
    149,046.24/205,683.60 = 81,978.24/x
  3. Step 3: Cross multiply
    149,046.24x = 205,683.60 × 81,978.24
  4. Step 4: Simplify right side
    149,046.24x = 16,861,579,524.86
  5. Step 5: Solve for x
    x = 16,861,579,524.86/149,046.24
  6. Step 6: Final answer
    x = 113,129.86

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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.