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Finding the Fourth Proportional to 70,650, 106,064.96 and 45,794.07

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Solution

The fourth proportional to 70,650, 106,064.96 and 45,794.07 is: 68,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,650 : 106,064.96 = 45,794.07 : x
  2. Step 2: Convert to fraction form
    70,650/106,064.96 = 45,794.07/x
  3. Step 3: Cross multiply
    70,650x = 106,064.96 × 45,794.07
  4. Step 4: Simplify right side
    70,650x = 4,857,146,202.79
  5. Step 5: Solve for x
    x = 4,857,146,202.79/70,650
  6. Step 6: Final answer
    x = 68,749.42

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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.