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Finding the Fourth Proportional to 196,020, 294,030 and 85,212

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Solution

The fourth proportional to 196,020, 294,030 and 85,212 is: 127,818

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,020 : 294,030 = 85,212 : x
  2. Step 2: Convert to fraction form
    196,020/294,030 = 85,212/x
  3. Step 3: Cross multiply
    196,020x = 294,030 × 85,212
  4. Step 4: Simplify right side
    196,020x = 25,054,884,360
  5. Step 5: Solve for x
    x = 25,054,884,360/196,020
  6. Step 6: Final answer
    x = 127,818

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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.