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Finding the Fourth Proportional to 127,173, 190,713.42 and 57,016.20

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Solution

The fourth proportional to 127,173, 190,713.42 and 57,016.20 is: 85,503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,173 : 190,713.42 = 57,016.20 : x
  2. Step 2: Convert to fraction form
    127,173/190,713.42 = 57,016.20/x
  3. Step 3: Cross multiply
    127,173x = 190,713.42 × 57,016.20
  4. Step 4: Simplify right side
    127,173x = 10,873,754,497.40
  5. Step 5: Solve for x
    x = 10,873,754,497.40/127,173
  6. Step 6: Final answer
    x = 85,503.64

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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.