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Finding the Fourth Proportional to 278,665.70, 417,866.88 and 107,967.38

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Solution

The fourth proportional to 278,665.70, 417,866.88 and 107,967.38 is: 161,900.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,665.70 : 417,866.88 = 107,967.38 : x
  2. Step 2: Convert to fraction form
    278,665.70/417,866.88 = 107,967.38/x
  3. Step 3: Cross multiply
    278,665.70x = 417,866.88 × 107,967.38
  4. Step 4: Simplify right side
    278,665.70x = 45,115,992,774.07
  5. Step 5: Solve for x
    x = 45,115,992,774.07/278,665.70
  6. Step 6: Final answer
    x = 161,900.06

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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.