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Finding the Fourth Proportional to 212,930.16, 319,858.87 and 128,729.98

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Solution

The fourth proportional to 212,930.16, 319,858.87 and 128,729.98 is: 193,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,930.16 : 319,858.87 = 128,729.98 : x
  2. Step 2: Convert to fraction form
    212,930.16/319,858.87 = 128,729.98/x
  3. Step 3: Cross multiply
    212,930.16x = 319,858.87 × 128,729.98
  4. Step 4: Simplify right side
    212,930.16x = 41,175,424,338.63
  5. Step 5: Solve for x
    x = 41,175,424,338.63/212,930.16
  6. Step 6: Final answer
    x = 193,375.26

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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.