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Finding the Fourth Proportional to 82,064.10, 113,173.29 and 53,785.38

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Solution

The fourth proportional to 82,064.10, 113,173.29 and 53,785.38 is: 74,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,064.10 : 113,173.29 = 53,785.38 : x
  2. Step 2: Convert to fraction form
    82,064.10/113,173.29 = 53,785.38/x
  3. Step 3: Cross multiply
    82,064.10x = 113,173.29 × 53,785.38
  4. Step 4: Simplify right side
    82,064.10x = 6,087,068,408.50
  5. Step 5: Solve for x
    x = 6,087,068,408.50/82,064.10
  6. Step 6: Final answer
    x = 74,174.56

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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.