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Finding the Fourth Proportional to 265,245.12, 397,722.28 and 105,158.88

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Solution

The fourth proportional to 265,245.12, 397,722.28 and 105,158.88 is: 157,680.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,245.12 : 397,722.28 = 105,158.88 : x
  2. Step 2: Convert to fraction form
    265,245.12/397,722.28 = 105,158.88/x
  3. Step 3: Cross multiply
    265,245.12x = 397,722.28 × 105,158.88
  4. Step 4: Simplify right side
    265,245.12x = 41,824,029,515.85
  5. Step 5: Solve for x
    x = 41,824,029,515.85/265,245.12
  6. Step 6: Final answer
    x = 157,680.67

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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.