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Finding the Fourth Proportional to 150,880.05, 208,211.12 and 81,967.73

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Solution

The fourth proportional to 150,880.05, 208,211.12 and 81,967.73 is: 113,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,880.05 : 208,211.12 = 81,967.73 : x
  2. Step 2: Convert to fraction form
    150,880.05/208,211.12 = 81,967.73/x
  3. Step 3: Cross multiply
    150,880.05x = 208,211.12 × 81,967.73
  4. Step 4: Simplify right side
    150,880.05x = 17,066,592,504.43
  5. Step 5: Solve for x
    x = 17,066,592,504.43/150,880.05
  6. Step 6: Final answer
    x = 113,113.65

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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.