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Finding the Fourth Proportional to 278,111, 417,179.46 and 81,119

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Solution

The fourth proportional to 278,111, 417,179.46 and 81,119 is: 121,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,111 : 417,179.46 = 81,119 : x
  2. Step 2: Convert to fraction form
    278,111/417,179.46 = 81,119/x
  3. Step 3: Cross multiply
    278,111x = 417,179.46 × 81,119
  4. Step 4: Simplify right side
    278,111x = 33,841,180,615.74
  5. Step 5: Solve for x
    x = 33,841,180,615.74/278,111
  6. Step 6: Final answer
    x = 121,682.28

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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.