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Finding the Fourth Proportional to 161,484.20, 242,129.10 and 82,752.20

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Solution

The fourth proportional to 161,484.20, 242,129.10 and 82,752.20 is: 124,078.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,484.20 : 242,129.10 = 82,752.20 : x
  2. Step 2: Convert to fraction form
    161,484.20/242,129.10 = 82,752.20/x
  3. Step 3: Cross multiply
    161,484.20x = 242,129.10 × 82,752.20
  4. Step 4: Simplify right side
    161,484.20x = 20,036,715,709.02
  5. Step 5: Solve for x
    x = 20,036,715,709.02/161,484.20
  6. Step 6: Final answer
    x = 124,078.49

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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.