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Finding the Fourth Proportional to 213,145.44, 319,681.80 and 70,974.57

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Solution

The fourth proportional to 213,145.44, 319,681.80 and 70,974.57 is: 106,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,145.44 : 319,681.80 = 70,974.57 : x
  2. Step 2: Convert to fraction form
    213,145.44/319,681.80 = 70,974.57/x
  3. Step 3: Cross multiply
    213,145.44x = 319,681.80 × 70,974.57
  4. Step 4: Simplify right side
    213,145.44x = 22,689,278,291.83
  5. Step 5: Solve for x
    x = 22,689,278,291.83/213,145.44
  6. Step 6: Final answer
    x = 106,449.75

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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.