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Finding the Fourth Proportional to 199,142.40, 299,059.20 and 105,830.40

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Solution

The fourth proportional to 199,142.40, 299,059.20 and 105,830.40 is: 158,929.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,142.40 : 299,059.20 = 105,830.40 : x
  2. Step 2: Convert to fraction form
    199,142.40/299,059.20 = 105,830.40/x
  3. Step 3: Cross multiply
    199,142.40x = 299,059.20 × 105,830.40
  4. Step 4: Simplify right side
    199,142.40x = 31,649,554,759.68
  5. Step 5: Solve for x
    x = 31,649,554,759.68/199,142.40
  6. Step 6: Final answer
    x = 158,929.26

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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.