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Finding the Fourth Proportional to 122,859.67, 169,598.66 and 82,596.78

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Solution

The fourth proportional to 122,859.67, 169,598.66 and 82,596.78 is: 114,018.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,859.67 : 169,598.66 = 82,596.78 : x
  2. Step 2: Convert to fraction form
    122,859.67/169,598.66 = 82,596.78/x
  3. Step 3: Cross multiply
    122,859.67x = 169,598.66 × 82,596.78
  4. Step 4: Simplify right side
    122,859.67x = 14,008,303,975.43
  5. Step 5: Solve for x
    x = 14,008,303,975.43/122,859.67
  6. Step 6: Final answer
    x = 114,018.73

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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.