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Finding the Fourth Proportional to 139,314.78, 192,303.45 and 82,725.75

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Solution

The fourth proportional to 139,314.78, 192,303.45 and 82,725.75 is: 114,190.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,314.78 : 192,303.45 = 82,725.75 : x
  2. Step 2: Convert to fraction form
    139,314.78/192,303.45 = 82,725.75/x
  3. Step 3: Cross multiply
    139,314.78x = 192,303.45 × 82,725.75
  4. Step 4: Simplify right side
    139,314.78x = 15,908,447,128.84
  5. Step 5: Solve for x
    x = 15,908,447,128.84/139,314.78
  6. Step 6: Final answer
    x = 114,190.66

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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.