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Finding the Fourth Proportional to 133,309.80, 199,640.70 and 70,842.60

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Solution

The fourth proportional to 133,309.80, 199,640.70 and 70,842.60 is: 106,091.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,309.80 : 199,640.70 = 70,842.60 : x
  2. Step 2: Convert to fraction form
    133,309.80/199,640.70 = 70,842.60/x
  3. Step 3: Cross multiply
    133,309.80x = 199,640.70 × 70,842.60
  4. Step 4: Simplify right side
    133,309.80x = 14,143,066,253.82
  5. Step 5: Solve for x
    x = 14,143,066,253.82/133,309.80
  6. Step 6: Final answer
    x = 106,091.72

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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.