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Finding the Fourth Proportional to 196,608.60, 294,985.80 and 78,364.80

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Solution

The fourth proportional to 196,608.60, 294,985.80 and 78,364.80 is: 117,576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,608.60 : 294,985.80 = 78,364.80 : x
  2. Step 2: Convert to fraction form
    196,608.60/294,985.80 = 78,364.80/x
  3. Step 3: Cross multiply
    196,608.60x = 294,985.80 × 78,364.80
  4. Step 4: Simplify right side
    196,608.60x = 23,116,503,219.84
  5. Step 5: Solve for x
    x = 23,116,503,219.84/196,608.60
  6. Step 6: Final answer
    x = 117,576.26

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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.