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Finding the Fourth Proportional to 85,331, 117,756.78 and 47,605.24

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Solution

The fourth proportional to 85,331, 117,756.78 and 47,605.24 is: 65,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,331 : 117,756.78 = 47,605.24 : x
  2. Step 2: Convert to fraction form
    85,331/117,756.78 = 47,605.24/x
  3. Step 3: Cross multiply
    85,331x = 117,756.78 × 47,605.24
  4. Step 4: Simplify right side
    85,331x = 5,605,839,773.53
  5. Step 5: Solve for x
    x = 5,605,839,773.53/85,331
  6. Step 6: Final answer
    x = 65,695.23

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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.