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Finding the Fourth Proportional to 196,489, 271,154.86 and 107,065

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Solution

The fourth proportional to 196,489, 271,154.86 and 107,065 is: 147,749.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,489 : 271,154.86 = 107,065 : x
  2. Step 2: Convert to fraction form
    196,489/271,154.86 = 107,065/x
  3. Step 3: Cross multiply
    196,489x = 271,154.86 × 107,065
  4. Step 4: Simplify right side
    196,489x = 29,031,195,085.90
  5. Step 5: Solve for x
    x = 29,031,195,085.90/196,489
  6. Step 6: Final answer
    x = 147,749.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.