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Finding the Fourth Proportional to 133,074, 199,670.37 and 72,302.70

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Solution

The fourth proportional to 133,074, 199,670.37 and 72,302.70 is: 108,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,074 : 199,670.37 = 72,302.70 : x
  2. Step 2: Convert to fraction form
    133,074/199,670.37 = 72,302.70/x
  3. Step 3: Cross multiply
    133,074x = 199,670.37 × 72,302.70
  4. Step 4: Simplify right side
    133,074x = 14,436,706,861.00
  5. Step 5: Solve for x
    x = 14,436,706,861.00/133,074
  6. Step 6: Final answer
    x = 108,486.31

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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.