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Finding the Fourth Proportional to 199,784.40, 299,287.80 and 110,878.80

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Solution

The fourth proportional to 199,784.40, 299,287.80 and 110,878.80 is: 166,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,784.40 : 299,287.80 = 110,878.80 : x
  2. Step 2: Convert to fraction form
    199,784.40/299,287.80 = 110,878.80/x
  3. Step 3: Cross multiply
    199,784.40x = 299,287.80 × 110,878.80
  4. Step 4: Simplify right side
    199,784.40x = 33,184,672,118.64
  5. Step 5: Solve for x
    x = 33,184,672,118.64/199,784.40
  6. Step 6: Final answer
    x = 166,102.42

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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.