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Finding the Fourth Proportional to 139,568.14, 192,598.50 and 75,905.92

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Solution

The fourth proportional to 139,568.14, 192,598.50 and 75,905.92 is: 104,747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,568.14 : 192,598.50 = 75,905.92 : x
  2. Step 2: Convert to fraction form
    139,568.14/192,598.50 = 75,905.92/x
  3. Step 3: Cross multiply
    139,568.14x = 192,598.50 × 75,905.92
  4. Step 4: Simplify right side
    139,568.14x = 14,619,366,333.12
  5. Step 5: Solve for x
    x = 14,619,366,333.12/139,568.14
  6. Step 6: Final answer
    x = 104,747.16

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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.