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Finding the Fourth Proportional to 196,780, 295,170 and 65,452

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Solution

The fourth proportional to 196,780, 295,170 and 65,452 is: 98,178

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,780 : 295,170 = 65,452 : x
  2. Step 2: Convert to fraction form
    196,780/295,170 = 65,452/x
  3. Step 3: Cross multiply
    196,780x = 295,170 × 65,452
  4. Step 4: Simplify right side
    196,780x = 19,319,466,840
  5. Step 5: Solve for x
    x = 19,319,466,840/196,780
  6. Step 6: Final answer
    x = 98,178

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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.