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Finding the Fourth Proportional to 71,485.81, 107,119.37 and 38,210.61

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Solution

The fourth proportional to 71,485.81, 107,119.37 and 38,210.61 is: 57,257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,485.81 : 107,119.37 = 38,210.61 : x
  2. Step 2: Convert to fraction form
    71,485.81/107,119.37 = 38,210.61/x
  3. Step 3: Cross multiply
    71,485.81x = 107,119.37 × 38,210.61
  4. Step 4: Simplify right side
    71,485.81x = 4,093,095,743.87
  5. Step 5: Solve for x
    x = 4,093,095,743.87/71,485.81
  6. Step 6: Final answer
    x = 57,257.46

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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.