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Finding the Fourth Proportional to 266,085.98, 399,245.84 and 139,696.86

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Solution

The fourth proportional to 266,085.98, 399,245.84 and 139,696.86 is: 209,606.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,085.98 : 399,245.84 = 139,696.86 : x
  2. Step 2: Convert to fraction form
    266,085.98/399,245.84 = 139,696.86/x
  3. Step 3: Cross multiply
    266,085.98x = 399,245.84 × 139,696.86
  4. Step 4: Simplify right side
    266,085.98x = 55,773,387,521.35
  5. Step 5: Solve for x
    x = 55,773,387,521.35/266,085.98
  6. Step 6: Final answer
    x = 209,606.64

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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.