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Finding the Fourth Proportional to 222,643.80, 334,006.20 and 72,842.40

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Solution

The fourth proportional to 222,643.80, 334,006.20 and 72,842.40 is: 109,276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,643.80 : 334,006.20 = 72,842.40 : x
  2. Step 2: Convert to fraction form
    222,643.80/334,006.20 = 72,842.40/x
  3. Step 3: Cross multiply
    222,643.80x = 334,006.20 × 72,842.40
  4. Step 4: Simplify right side
    222,643.80x = 24,329,813,222.88
  5. Step 5: Solve for x
    x = 24,329,813,222.88/222,643.80
  6. Step 6: Final answer
    x = 109,276.85

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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.