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Finding the Fourth Proportional to 149,323.60, 206,066.56 and 82,255.60

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Solution

The fourth proportional to 149,323.60, 206,066.56 and 82,255.60 is: 113,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,323.60 : 206,066.56 = 82,255.60 : x
  2. Step 2: Convert to fraction form
    149,323.60/206,066.56 = 82,255.60/x
  3. Step 3: Cross multiply
    149,323.60x = 206,066.56 × 82,255.60
  4. Step 4: Simplify right side
    149,323.60x = 16,950,128,532.74
  5. Step 5: Solve for x
    x = 16,950,128,532.74/149,323.60
  6. Step 6: Final answer
    x = 113,512.72

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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.