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Finding the Fourth Proportional to 65,318.80, 97,975.92 and 17,287.60

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Solution

The fourth proportional to 65,318.80, 97,975.92 and 17,287.60 is: 25,930.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,318.80 : 97,975.92 = 17,287.60 : x
  2. Step 2: Convert to fraction form
    65,318.80/97,975.92 = 17,287.60/x
  3. Step 3: Cross multiply
    65,318.80x = 97,975.92 × 17,287.60
  4. Step 4: Simplify right side
    65,318.80x = 1,693,768,514.59
  5. Step 5: Solve for x
    x = 1,693,768,514.59/65,318.80
  6. Step 6: Final answer
    x = 25,930.80

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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.