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Finding the Fourth Proportional to 196,641.60, 295,035.30 and 78,397.80

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Solution

The fourth proportional to 196,641.60, 295,035.30 and 78,397.80 is: 117,625.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,641.60 : 295,035.30 = 78,397.80 : x
  2. Step 2: Convert to fraction form
    196,641.60/295,035.30 = 78,397.80/x
  3. Step 3: Cross multiply
    196,641.60x = 295,035.30 × 78,397.80
  4. Step 4: Simplify right side
    196,641.60x = 23,130,118,442.34
  5. Step 5: Solve for x
    x = 23,130,118,442.34/196,641.60
  6. Step 6: Final answer
    x = 117,625.76

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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.