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Finding the Fourth Proportional to 70,039.54, 105,078.75 and 38,896.66

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Solution

The fourth proportional to 70,039.54, 105,078.75 and 38,896.66 is: 58,355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,039.54 : 105,078.75 = 38,896.66 : x
  2. Step 2: Convert to fraction form
    70,039.54/105,078.75 = 38,896.66/x
  3. Step 3: Cross multiply
    70,039.54x = 105,078.75 × 38,896.66
  4. Step 4: Simplify right side
    70,039.54x = 4,087,212,411.98
  5. Step 5: Solve for x
    x = 4,087,212,411.98/70,039.54
  6. Step 6: Final answer
    x = 58,355.79

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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.