Home / 75,538.74-113,211-31,196.64

Finding the Fourth Proportional to 75,538.74, 113,211 and 31,196.64

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Solution

The fourth proportional to 75,538.74, 113,211 and 31,196.64 is: 46,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,538.74 : 113,211 = 31,196.64 : x
  2. Step 2: Convert to fraction form
    75,538.74/113,211 = 31,196.64/x
  3. Step 3: Cross multiply
    75,538.74x = 113,211 × 31,196.64
  4. Step 4: Simplify right side
    75,538.74x = 3,531,802,811.04
  5. Step 5: Solve for x
    x = 3,531,802,811.04/75,538.74
  6. Step 6: Final answer
    x = 46,754.85

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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.