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Finding the Fourth Proportional to 222,890.80, 334,335.04 and 54,412

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Solution

The fourth proportional to 222,890.80, 334,335.04 and 54,412 is: 81,617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,890.80 : 334,335.04 = 54,412 : x
  2. Step 2: Convert to fraction form
    222,890.80/334,335.04 = 54,412/x
  3. Step 3: Cross multiply
    222,890.80x = 334,335.04 × 54,412
  4. Step 4: Simplify right side
    222,890.80x = 18,191,838,196.48
  5. Step 5: Solve for x
    x = 18,191,838,196.48/222,890.80
  6. Step 6: Final answer
    x = 81,617.72

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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.