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Finding the Fourth Proportional to 212,202.46, 318,296.13 and 54,432.46

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Solution

The fourth proportional to 212,202.46, 318,296.13 and 54,432.46 is: 81,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,202.46 : 318,296.13 = 54,432.46 : x
  2. Step 2: Convert to fraction form
    212,202.46/318,296.13 = 54,432.46/x
  3. Step 3: Cross multiply
    212,202.46x = 318,296.13 × 54,432.46
  4. Step 4: Simplify right side
    212,202.46x = 17,325,641,364.38
  5. Step 5: Solve for x
    x = 17,325,641,364.38/212,202.46
  6. Step 6: Final answer
    x = 81,646.75

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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.