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Finding the Fourth Proportional to 212,203.56, 318,305.42 and 54,432

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Solution

The fourth proportional to 212,203.56, 318,305.42 and 54,432 is: 81,648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,203.56 : 318,305.42 = 54,432 : x
  2. Step 2: Convert to fraction form
    212,203.56/318,305.42 = 54,432/x
  3. Step 3: Cross multiply
    212,203.56x = 318,305.42 × 54,432
  4. Step 4: Simplify right side
    212,203.56x = 17,326,000,621.44
  5. Step 5: Solve for x
    x = 17,326,000,621.44/212,203.56
  6. Step 6: Final answer
    x = 81,648.02

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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.