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Finding the Fourth Proportional to 196,670.16, 294,976.08 and 71,982

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Solution

The fourth proportional to 196,670.16, 294,976.08 and 71,982 is: 107,962.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,670.16 : 294,976.08 = 71,982 : x
  2. Step 2: Convert to fraction form
    196,670.16/294,976.08 = 71,982/x
  3. Step 3: Cross multiply
    196,670.16x = 294,976.08 × 71,982
  4. Step 4: Simplify right side
    196,670.16x = 21,232,968,190.56
  5. Step 5: Solve for x
    x = 21,232,968,190.56/196,670.16
  6. Step 6: Final answer
    x = 107,962.33

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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.