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Finding the Fourth Proportional to 180,308.72, 270,369.82 and 105,450.74

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Solution

The fourth proportional to 180,308.72, 270,369.82 and 105,450.74 is: 158,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,308.72 : 270,369.82 = 105,450.74 : x
  2. Step 2: Convert to fraction form
    180,308.72/270,369.82 = 105,450.74/x
  3. Step 3: Cross multiply
    180,308.72x = 270,369.82 × 105,450.74
  4. Step 4: Simplify right side
    180,308.72x = 28,510,697,592.67
  5. Step 5: Solve for x
    x = 28,510,697,592.67/180,308.72
  6. Step 6: Final answer
    x = 158,121.57

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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.