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Finding the Fourth Proportional to 84,530.80, 126,724.84 and 53,297.20

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Solution

The fourth proportional to 84,530.80, 126,724.84 and 53,297.20 is: 79,900.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,530.80 : 126,724.84 = 53,297.20 : x
  2. Step 2: Convert to fraction form
    84,530.80/126,724.84 = 53,297.20/x
  3. Step 3: Cross multiply
    84,530.80x = 126,724.84 × 53,297.20
  4. Step 4: Simplify right side
    84,530.80x = 6,754,079,142.45
  5. Step 5: Solve for x
    x = 6,754,079,142.45/84,530.80
  6. Step 6: Final answer
    x = 79,900.81

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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.