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Finding the Fourth Proportional to 133,290.84, 183,957.57 and 76,701

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Solution

The fourth proportional to 133,290.84, 183,957.57 and 76,701 is: 105,856.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,290.84 : 183,957.57 = 76,701 : x
  2. Step 2: Convert to fraction form
    133,290.84/183,957.57 = 76,701/x
  3. Step 3: Cross multiply
    133,290.84x = 183,957.57 × 76,701
  4. Step 4: Simplify right side
    133,290.84x = 14,109,729,576.57
  5. Step 5: Solve for x
    x = 14,109,729,576.57/133,290.84
  6. Step 6: Final answer
    x = 105,856.71

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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.