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Finding the Fourth Proportional to 196,581, 271,281.96 and 107,157

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Solution

The fourth proportional to 196,581, 271,281.96 and 107,157 is: 147,876.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,581 : 271,281.96 = 107,157 : x
  2. Step 2: Convert to fraction form
    196,581/271,281.96 = 107,157/x
  3. Step 3: Cross multiply
    196,581x = 271,281.96 × 107,157
  4. Step 4: Simplify right side
    196,581x = 29,069,760,987.72
  5. Step 5: Solve for x
    x = 29,069,760,987.72/196,581
  6. Step 6: Final answer
    x = 147,876.76

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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.