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Finding the Fourth Proportional to 212,864.80, 318,951.60 and 133,837.60

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Solution

The fourth proportional to 212,864.80, 318,951.60 and 133,837.60 is: 200,539.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,864.80 : 318,951.60 = 133,837.60 : x
  2. Step 2: Convert to fraction form
    212,864.80/318,951.60 = 133,837.60/x
  3. Step 3: Cross multiply
    212,864.80x = 318,951.60 × 133,837.60
  4. Step 4: Simplify right side
    212,864.80x = 42,687,716,660.16
  5. Step 5: Solve for x
    x = 42,687,716,660.16/212,864.80
  6. Step 6: Final answer
    x = 200,539.11

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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.