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Finding the Fourth Proportional to 205,144.84, 282,876.70 and 133,391.80

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Solution

The fourth proportional to 205,144.84, 282,876.70 and 133,391.80 is: 183,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,144.84 : 282,876.70 = 133,391.80 : x
  2. Step 2: Convert to fraction form
    205,144.84/282,876.70 = 133,391.80/x
  3. Step 3: Cross multiply
    205,144.84x = 282,876.70 × 133,391.80
  4. Step 4: Simplify right side
    205,144.84x = 37,733,432,191.06
  5. Step 5: Solve for x
    x = 37,733,432,191.06/205,144.84
  6. Step 6: Final answer
    x = 183,935.57

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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.