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Finding the Fourth Proportional to 193,454.31, 266,978.80 and 108,571.38

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Solution

The fourth proportional to 193,454.31, 266,978.80 and 108,571.38 is: 149,835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,454.31 : 266,978.80 = 108,571.38 : x
  2. Step 2: Convert to fraction form
    193,454.31/266,978.80 = 108,571.38/x
  3. Step 3: Cross multiply
    193,454.31x = 266,978.80 × 108,571.38
  4. Step 4: Simplify right side
    193,454.31x = 28,986,256,746.74
  5. Step 5: Solve for x
    x = 28,986,256,746.74/193,454.31
  6. Step 6: Final answer
    x = 149,835.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.