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Finding the Fourth Proportional to 195,048, 292,656.51 and 68,778.43

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Solution

The fourth proportional to 195,048, 292,656.51 and 68,778.43 is: 103,197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,048 : 292,656.51 = 68,778.43 : x
  2. Step 2: Convert to fraction form
    195,048/292,656.51 = 68,778.43/x
  3. Step 3: Cross multiply
    195,048x = 292,656.51 × 68,778.43
  4. Step 4: Simplify right side
    195,048x = 20,128,456,201.63
  5. Step 5: Solve for x
    x = 20,128,456,201.63/195,048
  6. Step 6: Final answer
    x = 103,197.45

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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.