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Finding the Fourth Proportional to 199,462.40, 299,193.60 and 81,218.60

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Solution

The fourth proportional to 199,462.40, 299,193.60 and 81,218.60 is: 121,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,462.40 : 299,193.60 = 81,218.60 : x
  2. Step 2: Convert to fraction form
    199,462.40/299,193.60 = 81,218.60/x
  3. Step 3: Cross multiply
    199,462.40x = 299,193.60 × 81,218.60
  4. Step 4: Simplify right side
    199,462.40x = 24,300,085,320.96
  5. Step 5: Solve for x
    x = 24,300,085,320.96/199,462.40
  6. Step 6: Final answer
    x = 121,827.90

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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.