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Finding the Fourth Proportional to 65,668.60, 98,509.74 and 21,293.56

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Solution

The fourth proportional to 65,668.60, 98,509.74 and 21,293.56 is: 31,942.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,668.60 : 98,509.74 = 21,293.56 : x
  2. Step 2: Convert to fraction form
    65,668.60/98,509.74 = 21,293.56/x
  3. Step 3: Cross multiply
    65,668.60x = 98,509.74 × 21,293.56
  4. Step 4: Simplify right side
    65,668.60x = 2,097,623,059.27
  5. Step 5: Solve for x
    x = 2,097,623,059.27/65,668.60
  6. Step 6: Final answer
    x = 31,942.56

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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.