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Finding the Fourth Proportional to 75,142.64, 103,696.68 and 43,311.32

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Solution

The fourth proportional to 75,142.64, 103,696.68 and 43,311.32 is: 59,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,142.64 : 103,696.68 = 43,311.32 : x
  2. Step 2: Convert to fraction form
    75,142.64/103,696.68 = 43,311.32/x
  3. Step 3: Cross multiply
    75,142.64x = 103,696.68 × 43,311.32
  4. Step 4: Simplify right side
    75,142.64x = 4,491,240,090.42
  5. Step 5: Solve for x
    x = 4,491,240,090.42/75,142.64
  6. Step 6: Final answer
    x = 59,769.53

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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.