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Finding the Fourth Proportional to 212,891.57, 318,975.86 and 128,474.35

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Solution

The fourth proportional to 212,891.57, 318,975.86 and 128,474.35 is: 192,493.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,891.57 : 318,975.86 = 128,474.35 : x
  2. Step 2: Convert to fraction form
    212,891.57/318,975.86 = 128,474.35/x
  3. Step 3: Cross multiply
    212,891.57x = 318,975.86 × 128,474.35
  4. Step 4: Simplify right side
    212,891.57x = 40,980,216,279.19
  5. Step 5: Solve for x
    x = 40,980,216,279.19/212,891.57
  6. Step 6: Final answer
    x = 192,493.37

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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.