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Finding the Fourth Proportional to 196,489.72, 271,155.76 and 107,065.72

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Solution

The fourth proportional to 196,489.72, 271,155.76 and 107,065.72 is: 147,750.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,489.72 : 271,155.76 = 107,065.72 : x
  2. Step 2: Convert to fraction form
    196,489.72/271,155.76 = 107,065.72/x
  3. Step 3: Cross multiply
    196,489.72x = 271,155.76 × 107,065.72
  4. Step 4: Simplify right side
    196,489.72x = 29,031,486,676.55
  5. Step 5: Solve for x
    x = 29,031,486,676.55/196,489.72
  6. Step 6: Final answer
    x = 147,750.66

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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.