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Finding the Fourth Proportional to 196,231.80, 294,347.70 and 102,766.20

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Solution

The fourth proportional to 196,231.80, 294,347.70 and 102,766.20 is: 154,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,231.80 : 294,347.70 = 102,766.20 : x
  2. Step 2: Convert to fraction form
    196,231.80/294,347.70 = 102,766.20/x
  3. Step 3: Cross multiply
    196,231.80x = 294,347.70 × 102,766.20
  4. Step 4: Simplify right side
    196,231.80x = 30,248,994,607.74
  5. Step 5: Solve for x
    x = 30,248,994,607.74/196,231.80
  6. Step 6: Final answer
    x = 154,149.30

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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.