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Finding the Fourth Proportional to 139,959.63, 193,124.81 and 82,601.35

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Solution

The fourth proportional to 139,959.63, 193,124.81 and 82,601.35 is: 113,978.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,959.63 : 193,124.81 = 82,601.35 : x
  2. Step 2: Convert to fraction form
    139,959.63/193,124.81 = 82,601.35/x
  3. Step 3: Cross multiply
    139,959.63x = 193,124.81 × 82,601.35
  4. Step 4: Simplify right side
    139,959.63x = 15,952,369,748.18
  5. Step 5: Solve for x
    x = 15,952,369,748.18/139,959.63
  6. Step 6: Final answer
    x = 113,978.36

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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.