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Finding the Fourth Proportional to 139,905.72, 193,047.84 and 78,639.84

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Solution

The fourth proportional to 139,905.72, 193,047.84 and 78,639.84 is: 108,510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,905.72 : 193,047.84 = 78,639.84 : x
  2. Step 2: Convert to fraction form
    139,905.72/193,047.84 = 78,639.84/x
  3. Step 3: Cross multiply
    139,905.72x = 193,047.84 × 78,639.84
  4. Step 4: Simplify right side
    139,905.72x = 15,181,251,249.95
  5. Step 5: Solve for x
    x = 15,181,251,249.95/139,905.72
  6. Step 6: Final answer
    x = 108,510.58

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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.