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Finding the Fourth Proportional to 133,212.55, 183,831.17 and 72,781.90

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Solution

The fourth proportional to 133,212.55, 183,831.17 and 72,781.90 is: 100,437.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,212.55 : 183,831.17 = 72,781.90 : x
  2. Step 2: Convert to fraction form
    133,212.55/183,831.17 = 72,781.90/x
  3. Step 3: Cross multiply
    133,212.55x = 183,831.17 × 72,781.90
  4. Step 4: Simplify right side
    133,212.55x = 13,379,580,912.67
  5. Step 5: Solve for x
    x = 13,379,580,912.67/133,212.55
  6. Step 6: Final answer
    x = 100,437.84

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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.