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Finding the Fourth Proportional to 71,390.30, 106,983.05 and 52,523.10

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Solution

The fourth proportional to 71,390.30, 106,983.05 and 52,523.10 is: 78,709.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,390.30 : 106,983.05 = 52,523.10 : x
  2. Step 2: Convert to fraction form
    71,390.30/106,983.05 = 52,523.10/x
  3. Step 3: Cross multiply
    71,390.30x = 106,983.05 × 52,523.10
  4. Step 4: Simplify right side
    71,390.30x = 5,619,081,433.46
  5. Step 5: Solve for x
    x = 5,619,081,433.46/71,390.30
  6. Step 6: Final answer
    x = 78,709.31

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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.