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Finding the Fourth Proportional to 213,128.68, 319,690.22 and 61,329.72

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Solution

The fourth proportional to 213,128.68, 319,690.22 and 61,329.72 is: 91,993.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,128.68 : 319,690.22 = 61,329.72 : x
  2. Step 2: Convert to fraction form
    213,128.68/319,690.22 = 61,329.72/x
  3. Step 3: Cross multiply
    213,128.68x = 319,690.22 × 61,329.72
  4. Step 4: Simplify right side
    213,128.68x = 19,606,511,679.34
  5. Step 5: Solve for x
    x = 19,606,511,679.34/213,128.68
  6. Step 6: Final answer
    x = 91,993.77

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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.