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Finding the Fourth Proportional to 120,890.54, 180,120.75 and 114,099.74

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Solution

The fourth proportional to 120,890.54, 180,120.75 and 114,099.74 is: 170,002.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,890.54 : 180,120.75 = 114,099.74 : x
  2. Step 2: Convert to fraction form
    120,890.54/180,120.75 = 114,099.74/x
  3. Step 3: Cross multiply
    120,890.54x = 180,120.75 × 114,099.74
  4. Step 4: Simplify right side
    120,890.54x = 20,551,730,173.11
  5. Step 5: Solve for x
    x = 20,551,730,173.11/120,890.54
  6. Step 6: Final answer
    x = 170,002.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.