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Finding the Fourth Proportional to 133,709.79, 200,565 and 33,870

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Solution

The fourth proportional to 133,709.79, 200,565 and 33,870 is: 50,805.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,709.79 : 200,565 = 33,870 : x
  2. Step 2: Convert to fraction form
    133,709.79/200,565 = 33,870/x
  3. Step 3: Cross multiply
    133,709.79x = 200,565 × 33,870
  4. Step 4: Simplify right side
    133,709.79x = 6,793,136,550
  5. Step 5: Solve for x
    x = 6,793,136,550/133,709.79
  6. Step 6: Final answer
    x = 50,805.08

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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.