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Finding the Fourth Proportional to 278,137.56, 417,264.42 and 91,134.36

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Solution

The fourth proportional to 278,137.56, 417,264.42 and 91,134.36 is: 136,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,137.56 : 417,264.42 = 91,134.36 : x
  2. Step 2: Convert to fraction form
    278,137.56/417,264.42 = 91,134.36/x
  3. Step 3: Cross multiply
    278,137.56x = 417,264.42 × 91,134.36
  4. Step 4: Simplify right side
    278,137.56x = 38,027,125,867.47
  5. Step 5: Solve for x
    x = 38,027,125,867.47/278,137.56
  6. Step 6: Final answer
    x = 136,720.57

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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.