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Finding the Fourth Proportional to 279,731.60, 419,597.40 and 92,743.10

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Solution

The fourth proportional to 279,731.60, 419,597.40 and 92,743.10 is: 139,114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,731.60 : 419,597.40 = 92,743.10 : x
  2. Step 2: Convert to fraction form
    279,731.60/419,597.40 = 92,743.10/x
  3. Step 3: Cross multiply
    279,731.60x = 419,597.40 × 92,743.10
  4. Step 4: Simplify right side
    279,731.60x = 38,914,763,627.94
  5. Step 5: Solve for x
    x = 38,914,763,627.94/279,731.60
  6. Step 6: Final answer
    x = 139,114.65

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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.