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Finding the Fourth Proportional to 139,442.31, 192,431.70 and 82,842.75

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Solution

The fourth proportional to 139,442.31, 192,431.70 and 82,842.75 is: 114,323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,442.31 : 192,431.70 = 82,842.75 : x
  2. Step 2: Convert to fraction form
    139,442.31/192,431.70 = 82,842.75/x
  3. Step 3: Cross multiply
    139,442.31x = 192,431.70 × 82,842.75
  4. Step 4: Simplify right side
    139,442.31x = 15,941,571,215.18
  5. Step 5: Solve for x
    x = 15,941,571,215.18/139,442.31
  6. Step 6: Final answer
    x = 114,323.77

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1.5x scale

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.