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Finding the Fourth Proportional to 196,272, 294,412.86 and 71,613

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Solution

The fourth proportional to 196,272, 294,412.86 and 71,613 is: 107,421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,272 : 294,412.86 = 71,613 : x
  2. Step 2: Convert to fraction form
    196,272/294,412.86 = 71,613/x
  3. Step 3: Cross multiply
    196,272x = 294,412.86 × 71,613
  4. Step 4: Simplify right side
    196,272x = 21,083,788,143.18
  5. Step 5: Solve for x
    x = 21,083,788,143.18/196,272
  6. Step 6: Final answer
    x = 107,421.27

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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.