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Finding the Fourth Proportional to 139,432.56, 192,444.87 and 82,833

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Solution

The fourth proportional to 139,432.56, 192,444.87 and 82,833 is: 114,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,432.56 : 192,444.87 = 82,833 : x
  2. Step 2: Convert to fraction form
    139,432.56/192,444.87 = 82,833/x
  3. Step 3: Cross multiply
    139,432.56x = 192,444.87 × 82,833
  4. Step 4: Simplify right side
    139,432.56x = 15,940,785,916.71
  5. Step 5: Solve for x
    x = 15,940,785,916.71/139,432.56
  6. Step 6: Final answer
    x = 114,326.14

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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.