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Finding the Fourth Proportional to 120,437.78, 180,656.66 and 50,278.82

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Solution

The fourth proportional to 120,437.78, 180,656.66 and 50,278.82 is: 75,418.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,437.78 : 180,656.66 = 50,278.82 : x
  2. Step 2: Convert to fraction form
    120,437.78/180,656.66 = 50,278.82/x
  3. Step 3: Cross multiply
    120,437.78x = 180,656.66 × 50,278.82
  4. Step 4: Simplify right side
    120,437.78x = 9,083,203,689.94
  5. Step 5: Solve for x
    x = 9,083,203,689.94/120,437.78
  6. Step 6: Final answer
    x = 75,418.23

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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.