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Finding the Fourth Proportional to 212,856.32, 319,272.96 and 65,112.32

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Solution

The fourth proportional to 212,856.32, 319,272.96 and 65,112.32 is: 97,664.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,856.32 : 319,272.96 = 65,112.32 : x
  2. Step 2: Convert to fraction form
    212,856.32/319,272.96 = 65,112.32/x
  3. Step 3: Cross multiply
    212,856.32x = 319,272.96 × 65,112.32
  4. Step 4: Simplify right side
    212,856.32x = 20,788,603,138.87
  5. Step 5: Solve for x
    x = 20,788,603,138.87/212,856.32
  6. Step 6: Final answer
    x = 97,664.96

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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.