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Finding the Fourth Proportional to 214,172.64, 321,274.74 and 56,400

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Solution

The fourth proportional to 214,172.64, 321,274.74 and 56,400 is: 84,604.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,172.64 : 321,274.74 = 56,400 : x
  2. Step 2: Convert to fraction form
    214,172.64/321,274.74 = 56,400/x
  3. Step 3: Cross multiply
    214,172.64x = 321,274.74 × 56,400
  4. Step 4: Simplify right side
    214,172.64x = 18,119,895,336
  5. Step 5: Solve for x
    x = 18,119,895,336/214,172.64
  6. Step 6: Final answer
    x = 84,604.16

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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.