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Finding the Fourth Proportional to 278,013.69, 417,049.70 and 91,039.77

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Solution

The fourth proportional to 278,013.69, 417,049.70 and 91,039.77 is: 136,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,013.69 : 417,049.70 = 91,039.77 : x
  2. Step 2: Convert to fraction form
    278,013.69/417,049.70 = 91,039.77/x
  3. Step 3: Cross multiply
    278,013.69x = 417,049.70 × 91,039.77
  4. Step 4: Simplify right side
    278,013.69x = 37,968,108,311.37
  5. Step 5: Solve for x
    x = 37,968,108,311.37/278,013.69
  6. Step 6: Final answer
    x = 136,569.20

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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.