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Finding the Fourth Proportional to 120,155.64, 180,245.78 and 45,338.74

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Solution

The fourth proportional to 120,155.64, 180,245.78 and 45,338.74 is: 68,012.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,155.64 : 180,245.78 = 45,338.74 : x
  2. Step 2: Convert to fraction form
    120,155.64/180,245.78 = 45,338.74/x
  3. Step 3: Cross multiply
    120,155.64x = 180,245.78 × 45,338.74
  4. Step 4: Simplify right side
    120,155.64x = 8,172,116,048.23
  5. Step 5: Solve for x
    x = 8,172,116,048.23/120,155.64
  6. Step 6: Final answer
    x = 68,012.76

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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.