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Finding the Fourth Proportional to 133,309.71, 199,743.12 and 93,783.78

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Solution

The fourth proportional to 133,309.71, 199,743.12 and 93,783.78 is: 140,519.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,309.71 : 199,743.12 = 93,783.78 : x
  2. Step 2: Convert to fraction form
    133,309.71/199,743.12 = 93,783.78/x
  3. Step 3: Cross multiply
    133,309.71x = 199,743.12 × 93,783.78
  4. Step 4: Simplify right side
    133,309.71x = 18,732,665,673.64
  5. Step 5: Solve for x
    x = 18,732,665,673.64/133,309.71
  6. Step 6: Final answer
    x = 140,519.89

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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.