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Finding the Fourth Proportional to 139,006.89, 191,832.45 and 78,573.90

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Solution

The fourth proportional to 139,006.89, 191,832.45 and 78,573.90 is: 108,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,006.89 : 191,832.45 = 78,573.90 : x
  2. Step 2: Convert to fraction form
    139,006.89/191,832.45 = 78,573.90/x
  3. Step 3: Cross multiply
    139,006.89x = 191,832.45 × 78,573.90
  4. Step 4: Simplify right side
    139,006.89x = 15,073,023,743.06
  5. Step 5: Solve for x
    x = 15,073,023,743.06/139,006.89
  6. Step 6: Final answer
    x = 108,433.64

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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.