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Finding the Fourth Proportional to 92,142.38, 138,126 and 36,018.47

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Solution

The fourth proportional to 92,142.38, 138,126 and 36,018.47 is: 53,993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,142.38 : 138,126 = 36,018.47 : x
  2. Step 2: Convert to fraction form
    92,142.38/138,126 = 36,018.47/x
  3. Step 3: Cross multiply
    92,142.38x = 138,126 × 36,018.47
  4. Step 4: Simplify right side
    92,142.38x = 4,975,087,187.22
  5. Step 5: Solve for x
    x = 4,975,087,187.22/92,142.38
  6. Step 6: Final answer
    x = 53,993.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.