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Finding the Fourth Proportional to 209,960.37, 314,754.06 and 81,847.12

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Solution

The fourth proportional to 209,960.37, 314,754.06 and 81,847.12 is: 122,697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,960.37 : 314,754.06 = 81,847.12 : x
  2. Step 2: Convert to fraction form
    209,960.37/314,754.06 = 81,847.12/x
  3. Step 3: Cross multiply
    209,960.37x = 314,754.06 × 81,847.12
  4. Step 4: Simplify right side
    209,960.37x = 25,761,713,319.31
  5. Step 5: Solve for x
    x = 25,761,713,319.31/209,960.37
  6. Step 6: Final answer
    x = 122,697.98

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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.