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Finding the Fourth Proportional to 135,973.80, 204,179.40 and 98,794.80

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Solution

The fourth proportional to 135,973.80, 204,179.40 and 98,794.80 is: 148,351.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,973.80 : 204,179.40 = 98,794.80 : x
  2. Step 2: Convert to fraction form
    135,973.80/204,179.40 = 98,794.80/x
  3. Step 3: Cross multiply
    135,973.80x = 204,179.40 × 98,794.80
  4. Step 4: Simplify right side
    135,973.80x = 20,171,862,987.12
  5. Step 5: Solve for x
    x = 20,171,862,987.12/135,973.80
  6. Step 6: Final answer
    x = 148,351.10

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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.