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Finding the Fourth Proportional to 131,812, 197,677.11 and 47,561.20

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Solution

The fourth proportional to 131,812, 197,677.11 and 47,561.20 is: 71,327.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,812 : 197,677.11 = 47,561.20 : x
  2. Step 2: Convert to fraction form
    131,812/197,677.11 = 47,561.20/x
  3. Step 3: Cross multiply
    131,812x = 197,677.11 × 47,561.20
  4. Step 4: Simplify right side
    131,812x = 9,401,760,564.13
  5. Step 5: Solve for x
    x = 9,401,760,564.13/131,812
  6. Step 6: Final answer
    x = 71,327.05

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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.