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Finding the Fourth Proportional to 98,321.91, 135,668.43 and 55,301.24

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Solution

The fourth proportional to 98,321.91, 135,668.43 and 55,301.24 is: 76,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,321.91 : 135,668.43 = 55,301.24 : x
  2. Step 2: Convert to fraction form
    98,321.91/135,668.43 = 55,301.24/x
  3. Step 3: Cross multiply
    98,321.91x = 135,668.43 × 55,301.24
  4. Step 4: Simplify right side
    98,321.91x = 7,502,631,729.51
  5. Step 5: Solve for x
    x = 7,502,631,729.51/98,321.91
  6. Step 6: Final answer
    x = 76,306.81

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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.