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Finding the Fourth Proportional to 73,171.65, 109,788.93 and 31,080.15

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Solution

The fourth proportional to 73,171.65, 109,788.93 and 31,080.15 is: 46,633.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,171.65 : 109,788.93 = 31,080.15 : x
  2. Step 2: Convert to fraction form
    73,171.65/109,788.93 = 31,080.15/x
  3. Step 3: Cross multiply
    73,171.65x = 109,788.93 × 31,080.15
  4. Step 4: Simplify right side
    73,171.65x = 3,412,256,412.74
  5. Step 5: Solve for x
    x = 3,412,256,412.74/73,171.65
  6. Step 6: Final answer
    x = 46,633.59

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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.