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Finding the Fourth Proportional to 98,188.55, 135,491.89 and 55,164.68

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Solution

The fourth proportional to 98,188.55, 135,491.89 and 55,164.68 is: 76,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,188.55 : 135,491.89 = 55,164.68 : x
  2. Step 2: Convert to fraction form
    98,188.55/135,491.89 = 55,164.68/x
  3. Step 3: Cross multiply
    98,188.55x = 135,491.89 × 55,164.68
  4. Step 4: Simplify right side
    98,188.55x = 7,474,366,550.60
  5. Step 5: Solve for x
    x = 7,474,366,550.60/98,188.55
  6. Step 6: Final answer
    x = 76,122.58

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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.