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Finding the Fourth Proportional to 120,548.17, 180,797.55 and 45,642.48

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Solution

The fourth proportional to 120,548.17, 180,797.55 and 45,642.48 is: 68,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,548.17 : 180,797.55 = 45,642.48 : x
  2. Step 2: Convert to fraction form
    120,548.17/180,797.55 = 45,642.48/x
  3. Step 3: Cross multiply
    120,548.17x = 180,797.55 × 45,642.48
  4. Step 4: Simplify right side
    120,548.17x = 8,252,048,559.92
  5. Step 5: Solve for x
    x = 8,252,048,559.92/120,548.17
  6. Step 6: Final answer
    x = 68,454.37

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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.