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Finding the Fourth Proportional to 70,053.92, 105,049.32 and 20,122.64

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Solution

The fourth proportional to 70,053.92, 105,049.32 and 20,122.64 is: 30,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,053.92 : 105,049.32 = 20,122.64 : x
  2. Step 2: Convert to fraction form
    70,053.92/105,049.32 = 20,122.64/x
  3. Step 3: Cross multiply
    70,053.92x = 105,049.32 × 20,122.64
  4. Step 4: Simplify right side
    70,053.92x = 2,113,869,648.60
  5. Step 5: Solve for x
    x = 2,113,869,648.60/70,053.92
  6. Step 6: Final answer
    x = 30,174.89

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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.