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Finding the Fourth Proportional to 71,815.68, 107,576.64 and 58,536

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Solution

The fourth proportional to 71,815.68, 107,576.64 and 58,536 is: 87,684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,815.68 : 107,576.64 = 58,536 : x
  2. Step 2: Convert to fraction form
    71,815.68/107,576.64 = 58,536/x
  3. Step 3: Cross multiply
    71,815.68x = 107,576.64 × 58,536
  4. Step 4: Simplify right side
    71,815.68x = 6,297,106,199.04
  5. Step 5: Solve for x
    x = 6,297,106,199.04/71,815.68
  6. Step 6: Final answer
    x = 87,684.28

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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.