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Finding the Fourth Proportional to 161,820.55, 242,691.93 and 82,894.15

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Solution

The fourth proportional to 161,820.55, 242,691.93 and 82,894.15 is: 124,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,820.55 : 242,691.93 = 82,894.15 : x
  2. Step 2: Convert to fraction form
    161,820.55/242,691.93 = 82,894.15/x
  3. Step 3: Cross multiply
    161,820.55x = 242,691.93 × 82,894.15
  4. Step 4: Simplify right side
    161,820.55x = 20,117,741,249.21
  5. Step 5: Solve for x
    x = 20,117,741,249.21/161,820.55
  6. Step 6: Final answer
    x = 124,321.30

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1.5x scale

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.