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Finding the Fourth Proportional to 278,106, 417,171.96 and 81,114

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Solution

The fourth proportional to 278,106, 417,171.96 and 81,114 is: 121,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,106 : 417,171.96 = 81,114 : x
  2. Step 2: Convert to fraction form
    278,106/417,171.96 = 81,114/x
  3. Step 3: Cross multiply
    278,106x = 417,171.96 × 81,114
  4. Step 4: Simplify right side
    278,106x = 33,838,486,363.44
  5. Step 5: Solve for x
    x = 33,838,486,363.44/278,106
  6. Step 6: Final answer
    x = 121,674.78

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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.