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Finding the Fourth Proportional to 85,442.75, 117,892.97 and 49,614.22

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Solution

The fourth proportional to 85,442.75, 117,892.97 and 49,614.22 is: 68,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,442.75 : 117,892.97 = 49,614.22 : x
  2. Step 2: Convert to fraction form
    85,442.75/117,892.97 = 49,614.22/x
  3. Step 3: Cross multiply
    85,442.75x = 117,892.97 × 49,614.22
  4. Step 4: Simplify right side
    85,442.75x = 5,849,167,835.38
  5. Step 5: Solve for x
    x = 5,849,167,835.38/85,442.75
  6. Step 6: Final answer
    x = 68,457.16

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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.