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Finding the Fourth Proportional to 120,171.66, 180,099.80 and 88,433.16

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Solution

The fourth proportional to 120,171.66, 180,099.80 and 88,433.16 is: 132,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,171.66 : 180,099.80 = 88,433.16 : x
  2. Step 2: Convert to fraction form
    120,171.66/180,099.80 = 88,433.16/x
  3. Step 3: Cross multiply
    120,171.66x = 180,099.80 × 88,433.16
  4. Step 4: Simplify right side
    120,171.66x = 15,926,794,429.37
  5. Step 5: Solve for x
    x = 15,926,794,429.37/120,171.66
  6. Step 6: Final answer
    x = 132,533.70

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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.