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Finding the Fourth Proportional to 278,018, 417,103.80 and 81,026

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Solution

The fourth proportional to 278,018, 417,103.80 and 81,026 is: 121,561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,018 : 417,103.80 = 81,026 : x
  2. Step 2: Convert to fraction form
    278,018/417,103.80 = 81,026/x
  3. Step 3: Cross multiply
    278,018x = 417,103.80 × 81,026
  4. Step 4: Simplify right side
    278,018x = 33,796,252,498.80
  5. Step 5: Solve for x
    x = 33,796,252,498.80/278,018
  6. Step 6: Final answer
    x = 121,561.38

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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.