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Finding the Fourth Proportional to 80,145.32, 110,599.96 and 47,894.64

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Solution

The fourth proportional to 80,145.32, 110,599.96 and 47,894.64 is: 66,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,145.32 : 110,599.96 = 47,894.64 : x
  2. Step 2: Convert to fraction form
    80,145.32/110,599.96 = 47,894.64/x
  3. Step 3: Cross multiply
    80,145.32x = 110,599.96 × 47,894.64
  4. Step 4: Simplify right side
    80,145.32x = 5,297,145,268.21
  5. Step 5: Solve for x
    x = 5,297,145,268.21/80,145.32
  6. Step 6: Final answer
    x = 66,094.26

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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.