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Finding the Fourth Proportional to 133,650, 200,319.48 and 54,668.52

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Solution

The fourth proportional to 133,650, 200,319.48 and 54,668.52 is: 81,939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,650 : 200,319.48 = 54,668.52 : x
  2. Step 2: Convert to fraction form
    133,650/200,319.48 = 54,668.52/x
  3. Step 3: Cross multiply
    133,650x = 200,319.48 × 54,668.52
  4. Step 4: Simplify right side
    133,650x = 10,951,169,498.77
  5. Step 5: Solve for x
    x = 10,951,169,498.77/133,650
  6. Step 6: Final answer
    x = 81,939.17

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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.