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Finding the Fourth Proportional to 87,101.84, 120,186.10 and 51,278.78

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Solution

The fourth proportional to 87,101.84, 120,186.10 and 51,278.78 is: 70,756.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,101.84 : 120,186.10 = 51,278.78 : x
  2. Step 2: Convert to fraction form
    87,101.84/120,186.10 = 51,278.78/x
  3. Step 3: Cross multiply
    87,101.84x = 120,186.10 × 51,278.78
  4. Step 4: Simplify right side
    87,101.84x = 6,162,996,580.96
  5. Step 5: Solve for x
    x = 6,162,996,580.96/87,101.84
  6. Step 6: Final answer
    x = 70,756.22

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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.