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Finding the Fourth Proportional to 70,665, 106,046.10 and 29,112

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Solution

The fourth proportional to 70,665, 106,046.10 and 29,112 is: 43,688.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,665 : 106,046.10 = 29,112 : x
  2. Step 2: Convert to fraction form
    70,665/106,046.10 = 29,112/x
  3. Step 3: Cross multiply
    70,665x = 106,046.10 × 29,112
  4. Step 4: Simplify right side
    70,665x = 3,087,214,063.20
  5. Step 5: Solve for x
    x = 3,087,214,063.20/70,665
  6. Step 6: Final answer
    x = 43,688.02

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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.