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Finding the Fourth Proportional to 74,542.48, 102,906.72 and 57,508.48

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Solution

The fourth proportional to 74,542.48, 102,906.72 and 57,508.48 is: 79,391.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,542.48 : 102,906.72 = 57,508.48 : x
  2. Step 2: Convert to fraction form
    74,542.48/102,906.72 = 57,508.48/x
  3. Step 3: Cross multiply
    74,542.48x = 102,906.72 × 57,508.48
  4. Step 4: Simplify right side
    74,542.48x = 5,918,009,177.62
  5. Step 5: Solve for x
    x = 5,918,009,177.62/74,542.48
  6. Step 6: Final answer
    x = 79,391.10

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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.