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Finding the Fourth Proportional to 72,406.68, 108,541.86 and 39,076.80

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Solution

The fourth proportional to 72,406.68, 108,541.86 and 39,076.80 is: 58,578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,406.68 : 108,541.86 = 39,076.80 : x
  2. Step 2: Convert to fraction form
    72,406.68/108,541.86 = 39,076.80/x
  3. Step 3: Cross multiply
    72,406.68x = 108,541.86 × 39,076.80
  4. Step 4: Simplify right side
    72,406.68x = 4,241,468,554.85
  5. Step 5: Solve for x
    x = 4,241,468,554.85/72,406.68
  6. Step 6: Final answer
    x = 58,578.42

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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.