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Finding the Fourth Proportional to 98,321.34, 135,683.61 and 55,879.88

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Solution

The fourth proportional to 98,321.34, 135,683.61 and 55,879.88 is: 77,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,321.34 : 135,683.61 = 55,879.88 : x
  2. Step 2: Convert to fraction form
    98,321.34/135,683.61 = 55,879.88/x
  3. Step 3: Cross multiply
    98,321.34x = 135,683.61 × 55,879.88
  4. Step 4: Simplify right side
    98,321.34x = 7,581,982,956.80
  5. Step 5: Solve for x
    x = 7,581,982,956.80/98,321.34
  6. Step 6: Final answer
    x = 77,114.31

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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.