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Finding the Fourth Proportional to 231,668.16, 319,708.80 and 131,064

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Solution

The fourth proportional to 231,668.16, 319,708.80 and 131,064 is: 180,872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,668.16 : 319,708.80 = 131,064 : x
  2. Step 2: Convert to fraction form
    231,668.16/319,708.80 = 131,064/x
  3. Step 3: Cross multiply
    231,668.16x = 319,708.80 × 131,064
  4. Step 4: Simplify right side
    231,668.16x = 41,902,314,163.20
  5. Step 5: Solve for x
    x = 41,902,314,163.20/231,668.16
  6. Step 6: Final answer
    x = 180,872.13

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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.