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Finding the Fourth Proportional to 279,605.72, 419,306.49 and 102,060.20

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Solution

The fourth proportional to 279,605.72, 419,306.49 and 102,060.20 is: 153,053.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,605.72 : 419,306.49 = 102,060.20 : x
  2. Step 2: Convert to fraction form
    279,605.72/419,306.49 = 102,060.20/x
  3. Step 3: Cross multiply
    279,605.72x = 419,306.49 × 102,060.20
  4. Step 4: Simplify right side
    279,605.72x = 42,794,502,134.17
  5. Step 5: Solve for x
    x = 42,794,502,134.17/279,605.72
  6. Step 6: Final answer
    x = 153,053.03

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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.