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Finding the Fourth Proportional to 82,186.80, 113,421 and 48,190.56

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Solution

The fourth proportional to 82,186.80, 113,421 and 48,190.56 is: 66,504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,186.80 : 113,421 = 48,190.56 : x
  2. Step 2: Convert to fraction form
    82,186.80/113,421 = 48,190.56/x
  3. Step 3: Cross multiply
    82,186.80x = 113,421 × 48,190.56
  4. Step 4: Simplify right side
    82,186.80x = 5,465,821,505.76
  5. Step 5: Solve for x
    x = 5,465,821,505.76/82,186.80
  6. Step 6: Final answer
    x = 66,504.86

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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.