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Finding the Fourth Proportional to 42,042, 58,018.44 and 29,313.84

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Solution

The fourth proportional to 42,042, 58,018.44 and 29,313.84 is: 40,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,042 : 58,018.44 = 29,313.84 : x
  2. Step 2: Convert to fraction form
    42,042/58,018.44 = 29,313.84/x
  3. Step 3: Cross multiply
    42,042x = 58,018.44 × 29,313.84
  4. Step 4: Simplify right side
    42,042x = 1,700,743,267.21
  5. Step 5: Solve for x
    x = 1,700,743,267.21/42,042
  6. Step 6: Final answer
    x = 40,453.43

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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.