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Finding the Fourth Proportional to 223,200.08, 334,800.12 and 82,994

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Solution

The fourth proportional to 223,200.08, 334,800.12 and 82,994 is: 124,491

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,200.08 : 334,800.12 = 82,994 : x
  2. Step 2: Convert to fraction form
    223,200.08/334,800.12 = 82,994/x
  3. Step 3: Cross multiply
    223,200.08x = 334,800.12 × 82,994
  4. Step 4: Simplify right side
    223,200.08x = 27,786,401,159.28
  5. Step 5: Solve for x
    x = 27,786,401,159.28/223,200.08
  6. Step 6: Final answer
    x = 124,491

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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.