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Finding the Fourth Proportional to 217,172.58, 325,640.43 and 65,347.53

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Solution

The fourth proportional to 217,172.58, 325,640.43 and 65,347.53 is: 97,985.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,172.58 : 325,640.43 = 65,347.53 : x
  2. Step 2: Convert to fraction form
    217,172.58/325,640.43 = 65,347.53/x
  3. Step 3: Cross multiply
    217,172.58x = 325,640.43 × 65,347.53
  4. Step 4: Simplify right side
    217,172.58x = 21,279,797,768.64
  5. Step 5: Solve for x
    x = 21,279,797,768.64/217,172.58
  6. Step 6: Final answer
    x = 97,985.66

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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.