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Finding the Fourth Proportional to 98,016, 135,338.28 and 75,319.20

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Solution

The fourth proportional to 98,016, 135,338.28 and 75,319.20 is: 103,999.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,016 : 135,338.28 = 75,319.20 : x
  2. Step 2: Convert to fraction form
    98,016/135,338.28 = 75,319.20/x
  3. Step 3: Cross multiply
    98,016x = 135,338.28 × 75,319.20
  4. Step 4: Simplify right side
    98,016x = 10,193,570,978.98
  5. Step 5: Solve for x
    x = 10,193,570,978.98/98,016
  6. Step 6: Final answer
    x = 103,999.05

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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.