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Finding the Fourth Proportional to 213,661.66, 294,943.87 and 133,128.97

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Solution

The fourth proportional to 213,661.66, 294,943.87 and 133,128.97 is: 183,774.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,661.66 : 294,943.87 = 133,128.97 : x
  2. Step 2: Convert to fraction form
    213,661.66/294,943.87 = 133,128.97/x
  3. Step 3: Cross multiply
    213,661.66x = 294,943.87 × 133,128.97
  4. Step 4: Simplify right side
    213,661.66x = 39,265,573,350.95
  5. Step 5: Solve for x
    x = 39,265,573,350.95/213,661.66
  6. Step 6: Final answer
    x = 183,774.54

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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.