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Finding the Fourth Proportional to 65,883.79, 90,918.97 and 35,668.31

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Solution

The fourth proportional to 65,883.79, 90,918.97 and 35,668.31 is: 49,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,883.79 : 90,918.97 = 35,668.31 : x
  2. Step 2: Convert to fraction form
    65,883.79/90,918.97 = 35,668.31/x
  3. Step 3: Cross multiply
    65,883.79x = 90,918.97 × 35,668.31
  4. Step 4: Simplify right side
    65,883.79x = 3,242,926,006.84
  5. Step 5: Solve for x
    x = 3,242,926,006.84/65,883.79
  6. Step 6: Final answer
    x = 49,221.91

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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.