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Finding the Fourth Proportional to 193,970.54, 290,955.81 and 53,729.21

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Solution

The fourth proportional to 193,970.54, 290,955.81 and 53,729.21 is: 80,593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,970.54 : 290,955.81 = 53,729.21 : x
  2. Step 2: Convert to fraction form
    193,970.54/290,955.81 = 53,729.21/x
  3. Step 3: Cross multiply
    193,970.54x = 290,955.81 × 53,729.21
  4. Step 4: Simplify right side
    193,970.54x = 15,632,825,816.21
  5. Step 5: Solve for x
    x = 15,632,825,816.21/193,970.54
  6. Step 6: Final answer
    x = 80,593.82

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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.