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Finding the Fourth Proportional to 85,175.57, 117,544.64 and 47,449.82

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Solution

The fourth proportional to 85,175.57, 117,544.64 and 47,449.82 is: 65,482.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,175.57 : 117,544.64 = 47,449.82 : x
  2. Step 2: Convert to fraction form
    85,175.57/117,544.64 = 47,449.82/x
  3. Step 3: Cross multiply
    85,175.57x = 117,544.64 × 47,449.82
  4. Step 4: Simplify right side
    85,175.57x = 5,577,472,066.58
  5. Step 5: Solve for x
    x = 5,577,472,066.58/85,175.57
  6. Step 6: Final answer
    x = 65,482.06

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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.