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Finding the Fourth Proportional to 169,989.60, 255,022.80 and 99,832.80

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Solution

The fourth proportional to 169,989.60, 255,022.80 and 99,832.80 is: 149,771.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,989.60 : 255,022.80 = 99,832.80 : x
  2. Step 2: Convert to fraction form
    169,989.60/255,022.80 = 99,832.80/x
  3. Step 3: Cross multiply
    169,989.60x = 255,022.80 × 99,832.80
  4. Step 4: Simplify right side
    169,989.60x = 25,459,640,187.84
  5. Step 5: Solve for x
    x = 25,459,640,187.84/169,989.60
  6. Step 6: Final answer
    x = 149,771.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.