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Finding the Fourth Proportional to 82,019.31, 112,448.45 and 80,524.64

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Solution

The fourth proportional to 82,019.31, 112,448.45 and 80,524.64 is: 110,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,019.31 : 112,448.45 = 80,524.64 : x
  2. Step 2: Convert to fraction form
    82,019.31/112,448.45 = 80,524.64/x
  3. Step 3: Cross multiply
    82,019.31x = 112,448.45 × 80,524.64
  4. Step 4: Simplify right side
    82,019.31x = 9,054,869,989.94
  5. Step 5: Solve for x
    x = 9,054,869,989.94/82,019.31
  6. Step 6: Final answer
    x = 110,399.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.