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Finding the Fourth Proportional to 196,950.64, 271,698.96 and 143,212

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Solution

The fourth proportional to 196,950.64, 271,698.96 and 143,212 is: 197,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,950.64 : 271,698.96 = 143,212 : x
  2. Step 2: Convert to fraction form
    196,950.64/271,698.96 = 143,212/x
  3. Step 3: Cross multiply
    196,950.64x = 271,698.96 × 143,212
  4. Step 4: Simplify right side
    196,950.64x = 38,910,551,459.52
  5. Step 5: Solve for x
    x = 38,910,551,459.52/196,950.64
  6. Step 6: Final answer
    x = 197,564.99

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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.