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Finding the Fourth Proportional to 85,301.62, 117,716.44 and 47,578.30

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Solution

The fourth proportional to 85,301.62, 117,716.44 and 47,578.30 is: 65,658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,301.62 : 117,716.44 = 47,578.30 : x
  2. Step 2: Convert to fraction form
    85,301.62/117,716.44 = 47,578.30/x
  3. Step 3: Cross multiply
    85,301.62x = 117,716.44 × 47,578.30
  4. Step 4: Simplify right side
    85,301.62x = 5,600,748,097.25
  5. Step 5: Solve for x
    x = 5,600,748,097.25/85,301.62
  6. Step 6: Final answer
    x = 65,658.17

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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.