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Finding the Fourth Proportional to 139,785.54, 192,897.36 and 76,122.96

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Solution

The fourth proportional to 139,785.54, 192,897.36 and 76,122.96 is: 105,046.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,785.54 : 192,897.36 = 76,122.96 : x
  2. Step 2: Convert to fraction form
    139,785.54/192,897.36 = 76,122.96/x
  3. Step 3: Cross multiply
    139,785.54x = 192,897.36 × 76,122.96
  4. Step 4: Simplify right side
    139,785.54x = 14,683,918,019.39
  5. Step 5: Solve for x
    x = 14,683,918,019.39/139,785.54
  6. Step 6: Final answer
    x = 105,046.04

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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.