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Finding the Fourth Proportional to 193,072.80, 289,220.40 and 133,975.20

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Solution

The fourth proportional to 193,072.80, 289,220.40 and 133,975.20 is: 200,693.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,072.80 : 289,220.40 = 133,975.20 : x
  2. Step 2: Convert to fraction form
    193,072.80/289,220.40 = 133,975.20/x
  3. Step 3: Cross multiply
    193,072.80x = 289,220.40 × 133,975.20
  4. Step 4: Simplify right side
    193,072.80x = 38,748,360,934.08
  5. Step 5: Solve for x
    x = 38,748,360,934.08/193,072.80
  6. Step 6: Final answer
    x = 200,693.01

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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.