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Finding the Fourth Proportional to 71,576.66, 107,395.32 and 38,288

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Solution

The fourth proportional to 71,576.66, 107,395.32 and 38,288 is: 57,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,576.66 : 107,395.32 = 38,288 : x
  2. Step 2: Convert to fraction form
    71,576.66/107,395.32 = 38,288/x
  3. Step 3: Cross multiply
    71,576.66x = 107,395.32 × 38,288
  4. Step 4: Simplify right side
    71,576.66x = 4,111,952,012.16
  5. Step 5: Solve for x
    x = 4,111,952,012.16/71,576.66
  6. Step 6: Final answer
    x = 57,448.22

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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.