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Finding the Fourth Proportional to 65,794.50, 98,707.38 and 21,421.29

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Solution

The fourth proportional to 65,794.50, 98,707.38 and 21,421.29 is: 32,137.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,794.50 : 98,707.38 = 21,421.29 : x
  2. Step 2: Convert to fraction form
    65,794.50/98,707.38 = 21,421.29/x
  3. Step 3: Cross multiply
    65,794.50x = 98,707.38 × 21,421.29
  4. Step 4: Simplify right side
    65,794.50x = 2,114,439,412.12
  5. Step 5: Solve for x
    x = 2,114,439,412.12/65,794.50
  6. Step 6: Final answer
    x = 32,137.02

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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.