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Finding the Fourth Proportional to 139,967.26, 193,149.93 and 76,303.78

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Solution

The fourth proportional to 139,967.26, 193,149.93 and 76,303.78 is: 105,296.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,967.26 : 193,149.93 = 76,303.78 : x
  2. Step 2: Convert to fraction form
    139,967.26/193,149.93 = 76,303.78/x
  3. Step 3: Cross multiply
    139,967.26x = 193,149.93 × 76,303.78
  4. Step 4: Simplify right side
    139,967.26x = 14,738,069,765.74
  5. Step 5: Solve for x
    x = 14,738,069,765.74/139,967.26
  6. Step 6: Final answer
    x = 105,296.55

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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.