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Finding the Fourth Proportional to 79,920.28, 119,863.86 and 37,782.46

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Solution

The fourth proportional to 79,920.28, 119,863.86 and 37,782.46 is: 56,665.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,920.28 : 119,863.86 = 37,782.46 : x
  2. Step 2: Convert to fraction form
    79,920.28/119,863.86 = 37,782.46/x
  3. Step 3: Cross multiply
    79,920.28x = 119,863.86 × 37,782.46
  4. Step 4: Simplify right side
    79,920.28x = 4,528,751,495.90
  5. Step 5: Solve for x
    x = 4,528,751,495.90/79,920.28
  6. Step 6: Final answer
    x = 56,665.86

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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.