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Finding the Fourth Proportional to 199,086.40, 298,623.20 and 65,972.80

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Solution

The fourth proportional to 199,086.40, 298,623.20 and 65,972.80 is: 98,957.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,086.40 : 298,623.20 = 65,972.80 : x
  2. Step 2: Convert to fraction form
    199,086.40/298,623.20 = 65,972.80/x
  3. Step 3: Cross multiply
    199,086.40x = 298,623.20 × 65,972.80
  4. Step 4: Simplify right side
    199,086.40x = 19,701,008,648.96
  5. Step 5: Solve for x
    x = 19,701,008,648.96/199,086.40
  6. Step 6: Final answer
    x = 98,957.08

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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.