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Finding the Fourth Proportional to 133,221.84, 199,827.27 and 74,019.75

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Solution

The fourth proportional to 133,221.84, 199,827.27 and 74,019.75 is: 111,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,221.84 : 199,827.27 = 74,019.75 : x
  2. Step 2: Convert to fraction form
    133,221.84/199,827.27 = 74,019.75/x
  3. Step 3: Cross multiply
    133,221.84x = 199,827.27 × 74,019.75
  4. Step 4: Simplify right side
    133,221.84x = 14,791,164,568.58
  5. Step 5: Solve for x
    x = 14,791,164,568.58/133,221.84
  6. Step 6: Final answer
    x = 111,026.57

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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.