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Finding the Fourth Proportional to 194,744.80, 292,232.40 and 142,021.60

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Solution

The fourth proportional to 194,744.80, 292,232.40 and 142,021.60 is: 213,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,744.80 : 292,232.40 = 142,021.60 : x
  2. Step 2: Convert to fraction form
    194,744.80/292,232.40 = 142,021.60/x
  3. Step 3: Cross multiply
    194,744.80x = 292,232.40 × 142,021.60
  4. Step 4: Simplify right side
    194,744.80x = 41,503,313,019.84
  5. Step 5: Solve for x
    x = 41,503,313,019.84/194,744.80
  6. Step 6: Final answer
    x = 213,116.41

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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.