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Finding the Fourth Proportional to 98,735.44, 147,971.94 and 85,525.96

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Solution

The fourth proportional to 98,735.44, 147,971.94 and 85,525.96 is: 128,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,735.44 : 147,971.94 = 85,525.96 : x
  2. Step 2: Convert to fraction form
    98,735.44/147,971.94 = 85,525.96/x
  3. Step 3: Cross multiply
    98,735.44x = 147,971.94 × 85,525.96
  4. Step 4: Simplify right side
    98,735.44x = 12,655,442,221.56
  5. Step 5: Solve for x
    x = 12,655,442,221.56/98,735.44
  6. Step 6: Final answer
    x = 128,175.28

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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.