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Finding the Fourth Proportional to 102,778.54, 154,184.43 and 31,684.54

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Solution

The fourth proportional to 102,778.54, 154,184.43 and 31,684.54 is: 47,531.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,778.54 : 154,184.43 = 31,684.54 : x
  2. Step 2: Convert to fraction form
    102,778.54/154,184.43 = 31,684.54/x
  3. Step 3: Cross multiply
    102,778.54x = 154,184.43 × 31,684.54
  4. Step 4: Simplify right side
    102,778.54x = 4,885,262,660.50
  5. Step 5: Solve for x
    x = 4,885,262,660.50/102,778.54
  6. Step 6: Final answer
    x = 47,531.93

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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.