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Finding the Fourth Proportional to 42,042, 58,018.68 and 27,163.92

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Solution

The fourth proportional to 42,042, 58,018.68 and 27,163.92 is: 37,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,042 : 58,018.68 = 27,163.92 : x
  2. Step 2: Convert to fraction form
    42,042/58,018.68 = 27,163.92/x
  3. Step 3: Cross multiply
    42,042x = 58,018.68 × 27,163.92
  4. Step 4: Simplify right side
    42,042x = 1,576,014,782.03
  5. Step 5: Solve for x
    x = 1,576,014,782.03/42,042
  6. Step 6: Final answer
    x = 37,486.67

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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.