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Finding the Fourth Proportional to 89,693.34, 123,782.16 and 51,452.64

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Solution

The fourth proportional to 89,693.34, 123,782.16 and 51,452.64 is: 71,007.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,693.34 : 123,782.16 = 51,452.64 : x
  2. Step 2: Convert to fraction form
    89,693.34/123,782.16 = 51,452.64/x
  3. Step 3: Cross multiply
    89,693.34x = 123,782.16 × 51,452.64
  4. Step 4: Simplify right side
    89,693.34x = 6,368,918,916.90
  5. Step 5: Solve for x
    x = 6,368,918,916.90/89,693.34
  6. Step 6: Final answer
    x = 71,007.71

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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.