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Finding the Fourth Proportional to 120,706.26, 166,557.57 and 72,296.82

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Solution

The fourth proportional to 120,706.26, 166,557.57 and 72,296.82 is: 99,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,706.26 : 166,557.57 = 72,296.82 : x
  2. Step 2: Convert to fraction form
    120,706.26/166,557.57 = 72,296.82/x
  3. Step 3: Cross multiply
    120,706.26x = 166,557.57 × 72,296.82
  4. Step 4: Simplify right side
    120,706.26x = 12,041,582,657.93
  5. Step 5: Solve for x
    x = 12,041,582,657.93/120,706.26
  6. Step 6: Final answer
    x = 99,759.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.