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Finding the Fourth Proportional to 98,107.80, 146,816.10 and 68,386.20

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Solution

The fourth proportional to 98,107.80, 146,816.10 and 68,386.20 is: 102,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,107.80 : 146,816.10 = 68,386.20 : x
  2. Step 2: Convert to fraction form
    98,107.80/146,816.10 = 68,386.20/x
  3. Step 3: Cross multiply
    98,107.80x = 146,816.10 × 68,386.20
  4. Step 4: Simplify right side
    98,107.80x = 10,040,195,177.82
  5. Step 5: Solve for x
    x = 10,040,195,177.82/98,107.80
  6. Step 6: Final answer
    x = 102,338.40

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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.