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Finding the Fourth Proportional to 212,388.68, 318,433.28 and 85,991.63

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Solution

The fourth proportional to 212,388.68, 318,433.28 and 85,991.63 is: 128,926.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,388.68 : 318,433.28 = 85,991.63 : x
  2. Step 2: Convert to fraction form
    212,388.68/318,433.28 = 85,991.63/x
  3. Step 3: Cross multiply
    212,388.68x = 318,433.28 × 85,991.63
  4. Step 4: Simplify right side
    212,388.68x = 27,382,594,771.32
  5. Step 5: Solve for x
    x = 27,382,594,771.32/212,388.68
  6. Step 6: Final answer
    x = 128,926.81

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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.