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Finding the Fourth Proportional to 196,672.16, 294,979.08 and 71,984

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Solution

The fourth proportional to 196,672.16, 294,979.08 and 71,984 is: 107,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,672.16 : 294,979.08 = 71,984 : x
  2. Step 2: Convert to fraction form
    196,672.16/294,979.08 = 71,984/x
  3. Step 3: Cross multiply
    196,672.16x = 294,979.08 × 71,984
  4. Step 4: Simplify right side
    196,672.16x = 21,233,774,094.72
  5. Step 5: Solve for x
    x = 21,233,774,094.72/196,672.16
  6. Step 6: Final answer
    x = 107,965.33

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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.