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Finding the Fourth Proportional to 65,189.89, 97,784.01 and 20,816.08

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Solution

The fourth proportional to 65,189.89, 97,784.01 and 20,816.08 is: 31,223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,189.89 : 97,784.01 = 20,816.08 : x
  2. Step 2: Convert to fraction form
    65,189.89/97,784.01 = 20,816.08/x
  3. Step 3: Cross multiply
    65,189.89x = 97,784.01 × 20,816.08
  4. Step 4: Simplify right side
    65,189.89x = 2,035,479,774.88
  5. Step 5: Solve for x
    x = 2,035,479,774.88/65,189.89
  6. Step 6: Final answer
    x = 31,223.86

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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.