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Finding the Fourth Proportional to 109,743.20, 164,614.80 and 30,870.80

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Solution

The fourth proportional to 109,743.20, 164,614.80 and 30,870.80 is: 46,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,743.20 : 164,614.80 = 30,870.80 : x
  2. Step 2: Convert to fraction form
    109,743.20/164,614.80 = 30,870.80/x
  3. Step 3: Cross multiply
    109,743.20x = 164,614.80 × 30,870.80
  4. Step 4: Simplify right side
    109,743.20x = 5,081,790,567.84
  5. Step 5: Solve for x
    x = 5,081,790,567.84/109,743.20
  6. Step 6: Final answer
    x = 46,306.20

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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.