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Finding the Fourth Proportional to 42,039, 58,012.38 and 23,175

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Solution

The fourth proportional to 42,039, 58,012.38 and 23,175 is: 31,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,039 : 58,012.38 = 23,175 : x
  2. Step 2: Convert to fraction form
    42,039/58,012.38 = 23,175/x
  3. Step 3: Cross multiply
    42,039x = 58,012.38 × 23,175
  4. Step 4: Simplify right side
    42,039x = 1,344,436,906.50
  5. Step 5: Solve for x
    x = 1,344,436,906.50/42,039
  6. Step 6: Final answer
    x = 31,980.71

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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.