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Finding the Fourth Proportional to 139,941.64, 193,119.45 and 76,279.87

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Solution

The fourth proportional to 139,941.64, 193,119.45 and 76,279.87 is: 105,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,941.64 : 193,119.45 = 76,279.87 : x
  2. Step 2: Convert to fraction form
    139,941.64/193,119.45 = 76,279.87/x
  3. Step 3: Cross multiply
    139,941.64x = 193,119.45 × 76,279.87
  4. Step 4: Simplify right side
    139,941.64x = 14,731,126,540.47
  5. Step 5: Solve for x
    x = 14,731,126,540.47/139,941.64
  6. Step 6: Final answer
    x = 105,266.21

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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.