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Finding the Fourth Proportional to 97,998.80, 135,268.80 and 77,891.36

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Solution

The fourth proportional to 97,998.80, 135,268.80 and 77,891.36 is: 107,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,998.80 : 135,268.80 = 77,891.36 : x
  2. Step 2: Convert to fraction form
    97,998.80/135,268.80 = 77,891.36/x
  3. Step 3: Cross multiply
    97,998.80x = 135,268.80 × 77,891.36
  4. Step 4: Simplify right side
    97,998.80x = 10,536,270,797.57
  5. Step 5: Solve for x
    x = 10,536,270,797.57/97,998.80
  6. Step 6: Final answer
    x = 107,514.28

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1.5x scale

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.