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Finding the Fourth Proportional to 279,142.14, 418,379.64 and 101,441.10

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Solution

The fourth proportional to 279,142.14, 418,379.64 and 101,441.10 is: 152,040.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,142.14 : 418,379.64 = 101,441.10 : x
  2. Step 2: Convert to fraction form
    279,142.14/418,379.64 = 101,441.10/x
  3. Step 3: Cross multiply
    279,142.14x = 418,379.64 × 101,441.10
  4. Step 4: Simplify right side
    279,142.14x = 42,440,890,899.20
  5. Step 5: Solve for x
    x = 42,440,890,899.20/279,142.14
  6. Step 6: Final answer
    x = 152,040.43

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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.