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Finding the Fourth Proportional to 109,722.80, 164,584.20 and 74,293.40

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Solution

The fourth proportional to 109,722.80, 164,584.20 and 74,293.40 is: 111,440.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,722.80 : 164,584.20 = 74,293.40 : x
  2. Step 2: Convert to fraction form
    109,722.80/164,584.20 = 74,293.40/x
  3. Step 3: Cross multiply
    109,722.80x = 164,584.20 × 74,293.40
  4. Step 4: Simplify right side
    109,722.80x = 12,227,519,804.28
  5. Step 5: Solve for x
    x = 12,227,519,804.28/109,722.80
  6. Step 6: Final answer
    x = 111,440.10

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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.