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Finding the Fourth Proportional to 212,372, 293,080.26 and 121,745.14

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Solution

The fourth proportional to 212,372, 293,080.26 and 121,745.14 is: 168,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,372 : 293,080.26 = 121,745.14 : x
  2. Step 2: Convert to fraction form
    212,372/293,080.26 = 121,745.14/x
  3. Step 3: Cross multiply
    212,372x = 293,080.26 × 121,745.14
  4. Step 4: Simplify right side
    212,372x = 35,681,097,284.94
  5. Step 5: Solve for x
    x = 35,681,097,284.94/212,372
  6. Step 6: Final answer
    x = 168,012.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.