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Finding the Fourth Proportional to 70,982.20, 106,434.90 and 29,433.40

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Solution

The fourth proportional to 70,982.20, 106,434.90 and 29,433.40 is: 44,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,982.20 : 106,434.90 = 29,433.40 : x
  2. Step 2: Convert to fraction form
    70,982.20/106,434.90 = 29,433.40/x
  3. Step 3: Cross multiply
    70,982.20x = 106,434.90 × 29,433.40
  4. Step 4: Simplify right side
    70,982.20x = 3,132,740,985.66
  5. Step 5: Solve for x
    x = 3,132,740,985.66/70,982.20
  6. Step 6: Final answer
    x = 44,134.18

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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.