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Finding the Fourth Proportional to 65,507.85, 98,273.97 and 21,129.96

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Solution

The fourth proportional to 65,507.85, 98,273.97 and 21,129.96 is: 31,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,507.85 : 98,273.97 = 21,129.96 : x
  2. Step 2: Convert to fraction form
    65,507.85/98,273.97 = 21,129.96/x
  3. Step 3: Cross multiply
    65,507.85x = 98,273.97 × 21,129.96
  4. Step 4: Simplify right side
    65,507.85x = 2,076,525,055.14
  5. Step 5: Solve for x
    x = 2,076,525,055.14/65,507.85
  6. Step 6: Final answer
    x = 31,698.87

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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.