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Finding the Fourth Proportional to 212,441.48, 318,678.60 and 54,671.48

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Solution

The fourth proportional to 212,441.48, 318,678.60 and 54,671.48 is: 82,011.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,441.48 : 318,678.60 = 54,671.48 : x
  2. Step 2: Convert to fraction form
    212,441.48/318,678.60 = 54,671.48/x
  3. Step 3: Cross multiply
    212,441.48x = 318,678.60 × 54,671.48
  4. Step 4: Simplify right side
    212,441.48x = 17,422,630,706.33
  5. Step 5: Solve for x
    x = 17,422,630,706.33/212,441.48
  6. Step 6: Final answer
    x = 82,011.44

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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.