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Finding the Fourth Proportional to 42,489, 58,649.40 and 25,722

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Solution

The fourth proportional to 42,489, 58,649.40 and 25,722 is: 35,505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,489 : 58,649.40 = 25,722 : x
  2. Step 2: Convert to fraction form
    42,489/58,649.40 = 25,722/x
  3. Step 3: Cross multiply
    42,489x = 58,649.40 × 25,722
  4. Step 4: Simplify right side
    42,489x = 1,508,579,866.80
  5. Step 5: Solve for x
    x = 1,508,579,866.80/42,489
  6. Step 6: Final answer
    x = 35,505.19

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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.