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Finding the Fourth Proportional to 92,142.88, 138,126.75 and 36,018.97

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Solution

The fourth proportional to 92,142.88, 138,126.75 and 36,018.97 is: 53,994.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,142.88 : 138,126.75 = 36,018.97 : x
  2. Step 2: Convert to fraction form
    92,142.88/138,126.75 = 36,018.97/x
  3. Step 3: Cross multiply
    92,142.88x = 138,126.75 × 36,018.97
  4. Step 4: Simplify right side
    92,142.88x = 4,975,183,264.45
  5. Step 5: Solve for x
    x = 4,975,183,264.45/92,142.88
  6. Step 6: Final answer
    x = 53,994.22

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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.