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Finding the Fourth Proportional to 196,212, 294,320.78 and 55,970.63

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Solution

The fourth proportional to 196,212, 294,320.78 and 55,970.63 is: 83,956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,212 : 294,320.78 = 55,970.63 : x
  2. Step 2: Convert to fraction form
    196,212/294,320.78 = 55,970.63/x
  3. Step 3: Cross multiply
    196,212x = 294,320.78 × 55,970.63
  4. Step 4: Simplify right side
    196,212x = 16,473,317,727.23
  5. Step 5: Solve for x
    x = 16,473,317,727.23/196,212
  6. Step 6: Final answer
    x = 83,956.73

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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.