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Finding the Fourth Proportional to 98,491, 135,917.94 and 53,779

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Solution

The fourth proportional to 98,491, 135,917.94 and 53,779 is: 74,215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,491 : 135,917.94 = 53,779 : x
  2. Step 2: Convert to fraction form
    98,491/135,917.94 = 53,779/x
  3. Step 3: Cross multiply
    98,491x = 135,917.94 × 53,779
  4. Step 4: Simplify right side
    98,491x = 7,309,530,895.26
  5. Step 5: Solve for x
    x = 7,309,530,895.26/98,491
  6. Step 6: Final answer
    x = 74,215.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.