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Finding the Fourth Proportional to 212,858.64, 319,363.56 and 94,519.44

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Solution

The fourth proportional to 212,858.64, 319,363.56 and 94,519.44 is: 141,812.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,858.64 : 319,363.56 = 94,519.44 : x
  2. Step 2: Convert to fraction form
    212,858.64/319,363.56 = 94,519.44/x
  3. Step 3: Cross multiply
    212,858.64x = 319,363.56 × 94,519.44
  4. Step 4: Simplify right side
    212,858.64x = 30,186,064,847.61
  5. Step 5: Solve for x
    x = 30,186,064,847.61/212,858.64
  6. Step 6: Final answer
    x = 141,812.73

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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.