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Finding the Fourth Proportional to 133,071.30, 199,606.95 and 80,583.30

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Solution

The fourth proportional to 133,071.30, 199,606.95 and 80,583.30 is: 120,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,071.30 : 199,606.95 = 80,583.30 : x
  2. Step 2: Convert to fraction form
    133,071.30/199,606.95 = 80,583.30/x
  3. Step 3: Cross multiply
    133,071.30x = 199,606.95 × 80,583.30
  4. Step 4: Simplify right side
    133,071.30x = 16,084,986,733.94
  5. Step 5: Solve for x
    x = 16,084,986,733.94/133,071.30
  6. Step 6: Final answer
    x = 120,874.95

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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.