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Finding the Fourth Proportional to 139,676.06, 192,744.53 and 78,417.74

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Solution

The fourth proportional to 139,676.06, 192,744.53 and 78,417.74 is: 108,211.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,676.06 : 192,744.53 = 78,417.74 : x
  2. Step 2: Convert to fraction form
    139,676.06/192,744.53 = 78,417.74/x
  3. Step 3: Cross multiply
    139,676.06x = 192,744.53 × 78,417.74
  4. Step 4: Simplify right side
    139,676.06x = 15,114,590,439.96
  5. Step 5: Solve for x
    x = 15,114,590,439.96/139,676.06
  6. Step 6: Final answer
    x = 108,211.75

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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.