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Finding the Fourth Proportional to 71,361.36, 107,011.02 and 38,074

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Solution

The fourth proportional to 71,361.36, 107,011.02 and 38,074 is: 57,094.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,361.36 : 107,011.02 = 38,074 : x
  2. Step 2: Convert to fraction form
    71,361.36/107,011.02 = 38,074/x
  3. Step 3: Cross multiply
    71,361.36x = 107,011.02 × 38,074
  4. Step 4: Simplify right side
    71,361.36x = 4,074,337,575.48
  5. Step 5: Solve for x
    x = 4,074,337,575.48/71,361.36
  6. Step 6: Final answer
    x = 57,094.45

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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.