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Finding the Fourth Proportional to 238,668.24, 357,778.80 and 80,786.16

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Solution

The fourth proportional to 238,668.24, 357,778.80 and 80,786.16 is: 121,103.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,668.24 : 357,778.80 = 80,786.16 : x
  2. Step 2: Convert to fraction form
    238,668.24/357,778.80 = 80,786.16/x
  3. Step 3: Cross multiply
    238,668.24x = 357,778.80 × 80,786.16
  4. Step 4: Simplify right side
    238,668.24x = 28,903,575,381.41
  5. Step 5: Solve for x
    x = 28,903,575,381.41/238,668.24
  6. Step 6: Final answer
    x = 121,103.57

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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.