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Finding the Fourth Proportional to 278,467.88, 417,710.01 and 68,105.81

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Solution

The fourth proportional to 278,467.88, 417,710.01 and 68,105.81 is: 102,160.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,467.88 : 417,710.01 = 68,105.81 : x
  2. Step 2: Convert to fraction form
    278,467.88/417,710.01 = 68,105.81/x
  3. Step 3: Cross multiply
    278,467.88x = 417,710.01 × 68,105.81
  4. Step 4: Simplify right side
    278,467.88x = 28,448,479,875.83
  5. Step 5: Solve for x
    x = 28,448,479,875.83/278,467.88
  6. Step 6: Final answer
    x = 102,160.72

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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.