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Finding the Fourth Proportional to 279,857.60, 419,875.19 and 99,939.10

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Solution

The fourth proportional to 279,857.60, 419,875.19 and 99,939.10 is: 149,940.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,857.60 : 419,875.19 = 99,939.10 : x
  2. Step 2: Convert to fraction form
    279,857.60/419,875.19 = 99,939.10/x
  3. Step 3: Cross multiply
    279,857.60x = 419,875.19 × 99,939.10
  4. Step 4: Simplify right side
    279,857.60x = 41,961,946,001.86
  5. Step 5: Solve for x
    x = 41,961,946,001.86/279,857.60
  6. Step 6: Final answer
    x = 149,940.35

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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.