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Finding the Fourth Proportional to 139,987.26, 193,177.53 and 76,323.78

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Solution

The fourth proportional to 139,987.26, 193,177.53 and 76,323.78 is: 105,324.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,987.26 : 193,177.53 = 76,323.78 : x
  2. Step 2: Convert to fraction form
    139,987.26/193,177.53 = 76,323.78/x
  3. Step 3: Cross multiply
    139,987.26x = 193,177.53 × 76,323.78
  4. Step 4: Simplify right side
    139,987.26x = 14,744,039,300.66
  5. Step 5: Solve for x
    x = 14,744,039,300.66/139,987.26
  6. Step 6: Final answer
    x = 105,324.15

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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.