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Finding the Fourth Proportional to 109,271.63, 163,893.78 and 30,392.01

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Solution

The fourth proportional to 109,271.63, 163,893.78 and 30,392.01 is: 45,584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,271.63 : 163,893.78 = 30,392.01 : x
  2. Step 2: Convert to fraction form
    109,271.63/163,893.78 = 30,392.01/x
  3. Step 3: Cross multiply
    109,271.63x = 163,893.78 × 30,392.01
  4. Step 4: Simplify right side
    109,271.63x = 4,981,061,400.70
  5. Step 5: Solve for x
    x = 4,981,061,400.70/109,271.63
  6. Step 6: Final answer
    x = 45,584.21

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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.