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Finding the Fourth Proportional to 81,392.90, 122,089.35 and 51,831.95

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Solution

The fourth proportional to 81,392.90, 122,089.35 and 51,831.95 is: 77,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,392.90 : 122,089.35 = 51,831.95 : x
  2. Step 2: Convert to fraction form
    81,392.90/122,089.35 = 51,831.95/x
  3. Step 3: Cross multiply
    81,392.90x = 122,089.35 × 51,831.95
  4. Step 4: Simplify right side
    81,392.90x = 6,328,129,084.73
  5. Step 5: Solve for x
    x = 6,328,129,084.73/81,392.90
  6. Step 6: Final answer
    x = 77,747.93

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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.