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Finding the Fourth Proportional to 161,823.30, 242,844.30 and 90,745.80

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Solution

The fourth proportional to 161,823.30, 242,844.30 and 90,745.80 is: 136,180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,823.30 : 242,844.30 = 90,745.80 : x
  2. Step 2: Convert to fraction form
    161,823.30/242,844.30 = 90,745.80/x
  3. Step 3: Cross multiply
    161,823.30x = 242,844.30 × 90,745.80
  4. Step 4: Simplify right side
    161,823.30x = 22,037,100,278.94
  5. Step 5: Solve for x
    x = 22,037,100,278.94/161,823.30
  6. Step 6: Final answer
    x = 136,180.02

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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.