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Finding the Fourth Proportional to 194,594.40, 291,891.60 and 128,109.60

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Solution

The fourth proportional to 194,594.40, 291,891.60 and 128,109.60 is: 192,164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,594.40 : 291,891.60 = 128,109.60 : x
  2. Step 2: Convert to fraction form
    194,594.40/291,891.60 = 128,109.60/x
  3. Step 3: Cross multiply
    194,594.40x = 291,891.60 × 128,109.60
  4. Step 4: Simplify right side
    194,594.40x = 37,394,116,119.36
  5. Step 5: Solve for x
    x = 37,394,116,119.36/194,594.40
  6. Step 6: Final answer
    x = 192,164.40

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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.