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Finding the Fourth Proportional to 107,713.78, 161,570.74 and 51,540.68

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Solution

The fourth proportional to 107,713.78, 161,570.74 and 51,540.68 is: 77,311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,713.78 : 161,570.74 = 51,540.68 : x
  2. Step 2: Convert to fraction form
    107,713.78/161,570.74 = 51,540.68/x
  3. Step 3: Cross multiply
    107,713.78x = 161,570.74 × 51,540.68
  4. Step 4: Simplify right side
    107,713.78x = 8,327,465,807.70
  5. Step 5: Solve for x
    x = 8,327,465,807.70/107,713.78
  6. Step 6: Final answer
    x = 77,311.05

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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.