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Finding the Fourth Proportional to 75,351, 103,984.65 and 41,817

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Solution

The fourth proportional to 75,351, 103,984.65 and 41,817 is: 57,707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,351 : 103,984.65 = 41,817 : x
  2. Step 2: Convert to fraction form
    75,351/103,984.65 = 41,817/x
  3. Step 3: Cross multiply
    75,351x = 103,984.65 × 41,817
  4. Step 4: Simplify right side
    75,351x = 4,348,326,109.05
  5. Step 5: Solve for x
    x = 4,348,326,109.05/75,351
  6. Step 6: Final answer
    x = 57,707.61

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Why These Related Problems?

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