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Finding the Fourth Proportional to 70,385.78, 105,504.14 and 32,914.38

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Solution

The fourth proportional to 70,385.78, 105,504.14 and 32,914.38 is: 49,336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,385.78 : 105,504.14 = 32,914.38 : x
  2. Step 2: Convert to fraction form
    70,385.78/105,504.14 = 32,914.38/x
  3. Step 3: Cross multiply
    70,385.78x = 105,504.14 × 32,914.38
  4. Step 4: Simplify right side
    70,385.78x = 3,472,603,355.53
  5. Step 5: Solve for x
    x = 3,472,603,355.53/70,385.78
  6. Step 6: Final answer
    x = 49,336.72

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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.