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Finding the Fourth Proportional to 140,098, 209,961.83 and 51,265.98

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Solution

The fourth proportional to 140,098, 209,961.83 and 51,265.98 is: 76,831.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,098 : 209,961.83 = 51,265.98 : x
  2. Step 2: Convert to fraction form
    140,098/209,961.83 = 51,265.98/x
  3. Step 3: Cross multiply
    140,098x = 209,961.83 × 51,265.98
  4. Step 4: Simplify right side
    140,098x = 10,763,898,977.54
  5. Step 5: Solve for x
    x = 10,763,898,977.54/140,098
  6. Step 6: Final answer
    x = 76,831.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.