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Finding the Fourth Proportional to 82,920.78, 114,431.22 and 45,195.12

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Solution

The fourth proportional to 82,920.78, 114,431.22 and 45,195.12 is: 62,369.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,920.78 : 114,431.22 = 45,195.12 : x
  2. Step 2: Convert to fraction form
    82,920.78/114,431.22 = 45,195.12/x
  3. Step 3: Cross multiply
    82,920.78x = 114,431.22 × 45,195.12
  4. Step 4: Simplify right side
    82,920.78x = 5,171,732,719.65
  5. Step 5: Solve for x
    x = 5,171,732,719.65/82,920.78
  6. Step 6: Final answer
    x = 62,369.56

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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.