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Finding the Fourth Proportional to 98,175.44, 135,485.64 and 57,870.80

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Solution

The fourth proportional to 98,175.44, 135,485.64 and 57,870.80 is: 79,863.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,175.44 : 135,485.64 = 57,870.80 : x
  2. Step 2: Convert to fraction form
    98,175.44/135,485.64 = 57,870.80/x
  3. Step 3: Cross multiply
    98,175.44x = 135,485.64 × 57,870.80
  4. Step 4: Simplify right side
    98,175.44x = 7,840,662,375.31
  5. Step 5: Solve for x
    x = 7,840,662,375.31/98,175.44
  6. Step 6: Final answer
    x = 79,863.79

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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.