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Finding the Fourth Proportional to 196,702.48, 295,053.50 and 78,456.85

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Solution

The fourth proportional to 196,702.48, 295,053.50 and 78,456.85 is: 117,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,702.48 : 295,053.50 = 78,456.85 : x
  2. Step 2: Convert to fraction form
    196,702.48/295,053.50 = 78,456.85/x
  3. Step 3: Cross multiply
    196,702.48x = 295,053.50 × 78,456.85
  4. Step 4: Simplify right side
    196,702.48x = 23,148,969,309.66
  5. Step 5: Solve for x
    x = 23,148,969,309.66/196,702.48
  6. Step 6: Final answer
    x = 117,685.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.