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Finding the Fourth Proportional to 42,038, 58,011 and 23,174

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Solution

The fourth proportional to 42,038, 58,011 and 23,174 is: 31,979.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,038 : 58,011 = 23,174 : x
  2. Step 2: Convert to fraction form
    42,038/58,011 = 23,174/x
  3. Step 3: Cross multiply
    42,038x = 58,011 × 23,174
  4. Step 4: Simplify right side
    42,038x = 1,344,346,914
  5. Step 5: Solve for x
    x = 1,344,346,914/42,038
  6. Step 6: Final answer
    x = 31,979.33

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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.