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Finding the Fourth Proportional to 139,872.80, 193,019.04 and 76,211.07

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Solution

The fourth proportional to 139,872.80, 193,019.04 and 76,211.07 is: 105,168.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,872.80 : 193,019.04 = 76,211.07 : x
  2. Step 2: Convert to fraction form
    139,872.80/193,019.04 = 76,211.07/x
  3. Step 3: Cross multiply
    139,872.80x = 193,019.04 × 76,211.07
  4. Step 4: Simplify right side
    139,872.80x = 14,710,187,568.77
  5. Step 5: Solve for x
    x = 14,710,187,568.77/139,872.80
  6. Step 6: Final answer
    x = 105,168.33

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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.