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Finding the Fourth Proportional to 133,212.66, 183,831.30 and 72,782.00

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Solution

The fourth proportional to 133,212.66, 183,831.30 and 72,782.00 is: 100,437.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,212.66 : 183,831.30 = 72,782.00 : x
  2. Step 2: Convert to fraction form
    133,212.66/183,831.30 = 72,782.00/x
  3. Step 3: Cross multiply
    133,212.66x = 183,831.30 × 72,782.00
  4. Step 4: Simplify right side
    133,212.66x = 13,379,609,759.14
  5. Step 5: Solve for x
    x = 13,379,609,759.14/133,212.66
  6. Step 6: Final answer
    x = 100,437.98

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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.