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Finding the Fourth Proportional to 70,937.24, 106,218.11 and 42,819.71

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Solution

The fourth proportional to 70,937.24, 106,218.11 and 42,819.71 is: 64,116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,937.24 : 106,218.11 = 42,819.71 : x
  2. Step 2: Convert to fraction form
    70,937.24/106,218.11 = 42,819.71/x
  3. Step 3: Cross multiply
    70,937.24x = 106,218.11 × 42,819.71
  4. Step 4: Simplify right side
    70,937.24x = 4,548,228,242.91
  5. Step 5: Solve for x
    x = 4,548,228,242.91/70,937.24
  6. Step 6: Final answer
    x = 64,116.23

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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.