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Finding the Fourth Proportional to 50,642.96, 69,932.30 and 31,555.58

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Solution

The fourth proportional to 50,642.96, 69,932.30 and 31,555.58 is: 43,574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,642.96 : 69,932.30 = 31,555.58 : x
  2. Step 2: Convert to fraction form
    50,642.96/69,932.30 = 31,555.58/x
  3. Step 3: Cross multiply
    50,642.96x = 69,932.30 × 31,555.58
  4. Step 4: Simplify right side
    50,642.96x = 2,206,753,779.79
  5. Step 5: Solve for x
    x = 2,206,753,779.79/50,642.96
  6. Step 6: Final answer
    x = 43,574.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.