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Finding the Fourth Proportional to 82,808.51, 124,214.80 and 30,217.97

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Solution

The fourth proportional to 82,808.51, 124,214.80 and 30,217.97 is: 45,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,808.51 : 124,214.80 = 30,217.97 : x
  2. Step 2: Convert to fraction form
    82,808.51/124,214.80 = 30,217.97/x
  3. Step 3: Cross multiply
    82,808.51x = 124,214.80 × 30,217.97
  4. Step 4: Simplify right side
    82,808.51x = 3,753,519,334.95
  5. Step 5: Solve for x
    x = 3,753,519,334.95/82,808.51
  6. Step 6: Final answer
    x = 45,327.70

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1.5x scale

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.