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Finding the Fourth Proportional to 212,084.64, 318,043.20 and 85,701

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Solution

The fourth proportional to 212,084.64, 318,043.20 and 85,701 is: 128,517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,084.64 : 318,043.20 = 85,701 : x
  2. Step 2: Convert to fraction form
    212,084.64/318,043.20 = 85,701/x
  3. Step 3: Cross multiply
    212,084.64x = 318,043.20 × 85,701
  4. Step 4: Simplify right side
    212,084.64x = 27,256,620,283.20
  5. Step 5: Solve for x
    x = 27,256,620,283.20/212,084.64
  6. Step 6: Final answer
    x = 128,517.65

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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.