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Finding the Fourth Proportional to 120,893.76, 166,820.96 and 75,576.74

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Solution

The fourth proportional to 120,893.76, 166,820.96 and 75,576.74 is: 104,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,893.76 : 166,820.96 = 75,576.74 : x
  2. Step 2: Convert to fraction form
    120,893.76/166,820.96 = 75,576.74/x
  3. Step 3: Cross multiply
    120,893.76x = 166,820.96 × 75,576.74
  4. Step 4: Simplify right side
    120,893.76x = 12,607,783,250.19
  5. Step 5: Solve for x
    x = 12,607,783,250.19/120,893.76
  6. Step 6: Final answer
    x = 104,288.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.