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Finding the Fourth Proportional to 65,778.42, 98,668.84 and 21,405

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Solution

The fourth proportional to 65,778.42, 98,668.84 and 21,405 is: 32,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,778.42 : 98,668.84 = 21,405 : x
  2. Step 2: Convert to fraction form
    65,778.42/98,668.84 = 21,405/x
  3. Step 3: Cross multiply
    65,778.42x = 98,668.84 × 21,405
  4. Step 4: Simplify right side
    65,778.42x = 2,112,006,520.20
  5. Step 5: Solve for x
    x = 2,112,006,520.20/65,778.42
  6. Step 6: Final answer
    x = 32,107.89

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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.