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Finding the Fourth Proportional to 98,138.40, 135,431.64 and 55,697.64

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Solution

The fourth proportional to 98,138.40, 135,431.64 and 55,697.64 is: 76,863.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,138.40 : 135,431.64 = 55,697.64 : x
  2. Step 2: Convert to fraction form
    98,138.40/135,431.64 = 55,697.64/x
  3. Step 3: Cross multiply
    98,138.40x = 135,431.64 × 55,697.64
  4. Step 4: Simplify right side
    98,138.40x = 7,543,222,729.33
  5. Step 5: Solve for x
    x = 7,543,222,729.33/98,138.40
  6. Step 6: Final answer
    x = 76,863.11

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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.