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Finding the Fourth Proportional to 98,569, 136,025.22 and 53,857

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Solution

The fourth proportional to 98,569, 136,025.22 and 53,857 is: 74,322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,569 : 136,025.22 = 53,857 : x
  2. Step 2: Convert to fraction form
    98,569/136,025.22 = 53,857/x
  3. Step 3: Cross multiply
    98,569x = 136,025.22 × 53,857
  4. Step 4: Simplify right side
    98,569x = 7,325,910,273.54
  5. Step 5: Solve for x
    x = 7,325,910,273.54/98,569
  6. Step 6: Final answer
    x = 74,322.66

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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.