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Finding the Fourth Proportional to 213,651.66, 320,453.01 and 55,895.34

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Solution

The fourth proportional to 213,651.66, 320,453.01 and 55,895.34 is: 83,836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,651.66 : 320,453.01 = 55,895.34 : x
  2. Step 2: Convert to fraction form
    213,651.66/320,453.01 = 55,895.34/x
  3. Step 3: Cross multiply
    213,651.66x = 320,453.01 × 55,895.34
  4. Step 4: Simplify right side
    213,651.66x = 17,911,829,947.97
  5. Step 5: Solve for x
    x = 17,911,829,947.97/213,651.66
  6. Step 6: Final answer
    x = 83,836.61

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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.