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Finding the Fourth Proportional to 70,614.28, 105,979.74 and 29,090.44

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Solution

The fourth proportional to 70,614.28, 105,979.74 and 29,090.44 is: 43,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,614.28 : 105,979.74 = 29,090.44 : x
  2. Step 2: Convert to fraction form
    70,614.28/105,979.74 = 29,090.44/x
  3. Step 3: Cross multiply
    70,614.28x = 105,979.74 × 29,090.44
  4. Step 4: Simplify right side
    70,614.28x = 3,082,997,267.69
  5. Step 5: Solve for x
    x = 3,082,997,267.69/70,614.28
  6. Step 6: Final answer
    x = 43,659.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.