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Finding the Fourth Proportional to 207,900.30, 311,319.09 and 114,303.18

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Solution

The fourth proportional to 207,900.30, 311,319.09 and 114,303.18 is: 171,162.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,900.30 : 311,319.09 = 114,303.18 : x
  2. Step 2: Convert to fraction form
    207,900.30/311,319.09 = 114,303.18/x
  3. Step 3: Cross multiply
    207,900.30x = 311,319.09 × 114,303.18
  4. Step 4: Simplify right side
    207,900.30x = 35,584,761,981.71
  5. Step 5: Solve for x
    x = 35,584,761,981.71/207,900.30
  6. Step 6: Final answer
    x = 171,162.63

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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.