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Finding the Fourth Proportional to 137,063.67, 205,530.30 and 80,153.82

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Solution

The fourth proportional to 137,063.67, 205,530.30 and 80,153.82 is: 120,192.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,063.67 : 205,530.30 = 80,153.82 : x
  2. Step 2: Convert to fraction form
    137,063.67/205,530.30 = 80,153.82/x
  3. Step 3: Cross multiply
    137,063.67x = 205,530.30 × 80,153.82
  4. Step 4: Simplify right side
    137,063.67x = 16,474,038,670.75
  5. Step 5: Solve for x
    x = 16,474,038,670.75/137,063.67
  6. Step 6: Final answer
    x = 120,192.60

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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.