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Finding the Fourth Proportional to 278,106.42, 417,199.60 and 85,995.82

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Solution

The fourth proportional to 278,106.42, 417,199.60 and 85,995.82 is: 129,006.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,106.42 : 417,199.60 = 85,995.82 : x
  2. Step 2: Convert to fraction form
    278,106.42/417,199.60 = 85,995.82/x
  3. Step 3: Cross multiply
    278,106.42x = 417,199.60 × 85,995.82
  4. Step 4: Simplify right side
    278,106.42x = 35,877,422,334.67
  5. Step 5: Solve for x
    x = 35,877,422,334.67/278,106.42
  6. Step 6: Final answer
    x = 129,006.09

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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.