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Finding the Fourth Proportional to 128,906.40, 193,352 and 76,648.48

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Solution

The fourth proportional to 128,906.40, 193,352 and 76,648.48 is: 114,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,906.40 : 193,352 = 76,648.48 : x
  2. Step 2: Convert to fraction form
    128,906.40/193,352 = 76,648.48/x
  3. Step 3: Cross multiply
    128,906.40x = 193,352 × 76,648.48
  4. Step 4: Simplify right side
    128,906.40x = 14,820,136,904.96
  5. Step 5: Solve for x
    x = 14,820,136,904.96/128,906.40
  6. Step 6: Final answer
    x = 114,968.20

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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.