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Finding the Fourth Proportional to 199,369.60, 299,084.10 and 71,276.20

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Solution

The fourth proportional to 199,369.60, 299,084.10 and 71,276.20 is: 106,924.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,369.60 : 299,084.10 = 71,276.20 : x
  2. Step 2: Convert to fraction form
    199,369.60/299,084.10 = 71,276.20/x
  3. Step 3: Cross multiply
    199,369.60x = 299,084.10 × 71,276.20
  4. Step 4: Simplify right side
    199,369.60x = 21,317,578,128.42
  5. Step 5: Solve for x
    x = 21,317,578,128.42/199,369.60
  6. Step 6: Final answer
    x = 106,924.92

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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.