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Finding the Fourth Proportional to 193,356, 290,047.97 and 80,923.08

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Solution

The fourth proportional to 193,356, 290,047.97 and 80,923.08 is: 121,390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,356 : 290,047.97 = 80,923.08 : x
  2. Step 2: Convert to fraction form
    193,356/290,047.97 = 80,923.08/x
  3. Step 3: Cross multiply
    193,356x = 290,047.97 × 80,923.08
  4. Step 4: Simplify right side
    193,356x = 23,471,574,675.53
  5. Step 5: Solve for x
    x = 23,471,574,675.53/193,356
  6. Step 6: Final answer
    x = 121,390.46

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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.