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Finding the Fourth Proportional to 212,959.68, 319,418.26 and 86,607.38

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Solution

The fourth proportional to 212,959.68, 319,418.26 and 86,607.38 is: 129,902.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,959.68 : 319,418.26 = 86,607.38 : x
  2. Step 2: Convert to fraction form
    212,959.68/319,418.26 = 86,607.38/x
  3. Step 3: Cross multiply
    212,959.68x = 319,418.26 × 86,607.38
  4. Step 4: Simplify right side
    212,959.68x = 27,663,978,622.76
  5. Step 5: Solve for x
    x = 27,663,978,622.76/212,959.68
  6. Step 6: Final answer
    x = 129,902.42

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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.