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Finding the Fourth Proportional to 212,197.56, 318,296.42 and 54,426

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Solution

The fourth proportional to 212,197.56, 318,296.42 and 54,426 is: 81,639.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,197.56 : 318,296.42 = 54,426 : x
  2. Step 2: Convert to fraction form
    212,197.56/318,296.42 = 54,426/x
  3. Step 3: Cross multiply
    212,197.56x = 318,296.42 × 54,426
  4. Step 4: Simplify right side
    212,197.56x = 17,323,600,954.92
  5. Step 5: Solve for x
    x = 17,323,600,954.92/212,197.56
  6. Step 6: Final answer
    x = 81,639.02

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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.