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Finding the Fourth Proportional to 70,743, 106,115.22 and 21,495

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Solution

The fourth proportional to 70,743, 106,115.22 and 21,495 is: 32,242.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,743 : 106,115.22 = 21,495 : x
  2. Step 2: Convert to fraction form
    70,743/106,115.22 = 21,495/x
  3. Step 3: Cross multiply
    70,743x = 106,115.22 × 21,495
  4. Step 4: Simplify right side
    70,743x = 2,280,946,653.90
  5. Step 5: Solve for x
    x = 2,280,946,653.90/70,743
  6. Step 6: Final answer
    x = 32,242.72

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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.