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Finding the Fourth Proportional to 98,201.76, 135,522 and 55,759.20

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Solution

The fourth proportional to 98,201.76, 135,522 and 55,759.20 is: 76,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,201.76 : 135,522 = 55,759.20 : x
  2. Step 2: Convert to fraction form
    98,201.76/135,522 = 55,759.20/x
  3. Step 3: Cross multiply
    98,201.76x = 135,522 × 55,759.20
  4. Step 4: Simplify right side
    98,201.76x = 7,556,598,302.40
  5. Step 5: Solve for x
    x = 7,556,598,302.40/98,201.76
  6. Step 6: Final answer
    x = 76,949.72

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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.