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Finding the Fourth Proportional to 71,297.28, 106,929.72 and 31,833

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Solution

The fourth proportional to 71,297.28, 106,929.72 and 31,833 is: 47,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,297.28 : 106,929.72 = 31,833 : x
  2. Step 2: Convert to fraction form
    71,297.28/106,929.72 = 31,833/x
  3. Step 3: Cross multiply
    71,297.28x = 106,929.72 × 31,833
  4. Step 4: Simplify right side
    71,297.28x = 3,403,893,776.76
  5. Step 5: Solve for x
    x = 3,403,893,776.76/71,297.28
  6. Step 6: Final answer
    x = 47,742.27

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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.