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Finding the Fourth Proportional to 278,886.06, 418,254.37 and 121,077

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Solution

The fourth proportional to 278,886.06, 418,254.37 and 121,077 is: 181,583.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,886.06 : 418,254.37 = 121,077 : x
  2. Step 2: Convert to fraction form
    278,886.06/418,254.37 = 121,077/x
  3. Step 3: Cross multiply
    278,886.06x = 418,254.37 × 121,077
  4. Step 4: Simplify right side
    278,886.06x = 50,640,984,053.80
  5. Step 5: Solve for x
    x = 50,640,984,053.80/278,886.06
  6. Step 6: Final answer
    x = 181,583.06

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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.