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Finding the Fourth Proportional to 90,419.80, 135,629.70 and 85,811.80

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Solution

The fourth proportional to 90,419.80, 135,629.70 and 85,811.80 is: 128,717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,419.80 : 135,629.70 = 85,811.80 : x
  2. Step 2: Convert to fraction form
    90,419.80/135,629.70 = 85,811.80/x
  3. Step 3: Cross multiply
    90,419.80x = 135,629.70 × 85,811.80
  4. Step 4: Simplify right side
    90,419.80x = 11,638,628,690.46
  5. Step 5: Solve for x
    x = 11,638,628,690.46/90,419.80
  6. Step 6: Final answer
    x = 128,717.70

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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.