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Finding the Fourth Proportional to 266,093.85, 399,257.67 and 139,704.74

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Solution

The fourth proportional to 266,093.85, 399,257.67 and 139,704.74 is: 209,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,093.85 : 399,257.67 = 139,704.74 : x
  2. Step 2: Convert to fraction form
    266,093.85/399,257.67 = 139,704.74/x
  3. Step 3: Cross multiply
    266,093.85x = 399,257.67 × 139,704.74
  4. Step 4: Simplify right side
    266,093.85x = 55,778,186,984.07
  5. Step 5: Solve for x
    x = 55,778,186,984.07/266,093.85
  6. Step 6: Final answer
    x = 209,618.47

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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.