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Finding the Fourth Proportional to 100,450.96, 150,676.45 and 78,280.95

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Solution

The fourth proportional to 100,450.96, 150,676.45 and 78,280.95 is: 117,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,450.96 : 150,676.45 = 78,280.95 : x
  2. Step 2: Convert to fraction form
    100,450.96/150,676.45 = 78,280.95/x
  3. Step 3: Cross multiply
    100,450.96x = 150,676.45 × 78,280.95
  4. Step 4: Simplify right side
    100,450.96x = 11,795,095,648.63
  5. Step 5: Solve for x
    x = 11,795,095,648.63/100,450.96
  6. Step 6: Final answer
    x = 117,421.43

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1.5x scale

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.