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Finding the Fourth Proportional to 109,321.80, 163,982.70 and 94,288.20

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Solution

The fourth proportional to 109,321.80, 163,982.70 and 94,288.20 is: 141,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,321.80 : 163,982.70 = 94,288.20 : x
  2. Step 2: Convert to fraction form
    109,321.80/163,982.70 = 94,288.20/x
  3. Step 3: Cross multiply
    109,321.80x = 163,982.70 × 94,288.20
  4. Step 4: Simplify right side
    109,321.80x = 15,461,633,614.14
  5. Step 5: Solve for x
    x = 15,461,633,614.14/109,321.80
  6. Step 6: Final answer
    x = 141,432.30

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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.