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Finding the Fourth Proportional to 212,892.01, 318,976.52 and 128,474.78

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Solution

The fourth proportional to 212,892.01, 318,976.52 and 128,474.78 is: 192,494.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,892.01 : 318,976.52 = 128,474.78 : x
  2. Step 2: Convert to fraction form
    212,892.01/318,976.52 = 128,474.78/x
  3. Step 3: Cross multiply
    212,892.01x = 318,976.52 × 128,474.78
  4. Step 4: Simplify right side
    212,892.01x = 40,980,438,232.17
  5. Step 5: Solve for x
    x = 40,980,438,232.17/212,892.01
  6. Step 6: Final answer
    x = 192,494.02

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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.