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Finding the Fourth Proportional to 133,215.84, 183,829.02 and 75,861

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Solution

The fourth proportional to 133,215.84, 183,829.02 and 75,861 is: 104,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,215.84 : 183,829.02 = 75,861 : x
  2. Step 2: Convert to fraction form
    133,215.84/183,829.02 = 75,861/x
  3. Step 3: Cross multiply
    133,215.84x = 183,829.02 × 75,861
  4. Step 4: Simplify right side
    133,215.84x = 13,945,453,286.22
  5. Step 5: Solve for x
    x = 13,945,453,286.22/133,215.84
  6. Step 6: Final answer
    x = 104,683.15

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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.