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Finding the Fourth Proportional to 139,060.85, 191,895.82 and 78,644.16

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Solution

The fourth proportional to 139,060.85, 191,895.82 and 78,644.16 is: 108,524.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,060.85 : 191,895.82 = 78,644.16 : x
  2. Step 2: Convert to fraction form
    139,060.85/191,895.82 = 78,644.16/x
  3. Step 3: Cross multiply
    139,060.85x = 191,895.82 × 78,644.16
  4. Step 4: Simplify right side
    139,060.85x = 15,091,485,374.80
  5. Step 5: Solve for x
    x = 15,091,485,374.80/139,060.85
  6. Step 6: Final answer
    x = 108,524.33

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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.