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Finding the Fourth Proportional to 96,321.78, 132,938.16 and 55,478.06

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Solution

The fourth proportional to 96,321.78, 132,938.16 and 55,478.06 is: 76,567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,321.78 : 132,938.16 = 55,478.06 : x
  2. Step 2: Convert to fraction form
    96,321.78/132,938.16 = 55,478.06/x
  3. Step 3: Cross multiply
    96,321.78x = 132,938.16 × 55,478.06
  4. Step 4: Simplify right side
    96,321.78x = 7,375,150,552.08
  5. Step 5: Solve for x
    x = 7,375,150,552.08/96,321.78
  6. Step 6: Final answer
    x = 76,567.84

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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.