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Finding the Fourth Proportional to 161,332.20, 241,803.90 and 82,405.80

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Solution

The fourth proportional to 161,332.20, 241,803.90 and 82,405.80 is: 123,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,332.20 : 241,803.90 = 82,405.80 : x
  2. Step 2: Convert to fraction form
    161,332.20/241,803.90 = 82,405.80/x
  3. Step 3: Cross multiply
    161,332.20x = 241,803.90 × 82,405.80
  4. Step 4: Simplify right side
    161,332.20x = 19,926,043,822.62
  5. Step 5: Solve for x
    x = 19,926,043,822.62/161,332.20
  6. Step 6: Final answer
    x = 123,509.40

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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.