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Finding the Fourth Proportional to 121,831, 182,773.38 and 51,770.20

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Solution

The fourth proportional to 121,831, 182,773.38 and 51,770.20 is: 77,666.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,831 : 182,773.38 = 51,770.20 : x
  2. Step 2: Convert to fraction form
    121,831/182,773.38 = 51,770.20/x
  3. Step 3: Cross multiply
    121,831x = 182,773.38 × 51,770.20
  4. Step 4: Simplify right side
    121,831x = 9,462,214,437.28
  5. Step 5: Solve for x
    x = 9,462,214,437.28/121,831
  6. Step 6: Final answer
    x = 77,666.72

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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.