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Finding the Fourth Proportional to 65,348.94, 98,032.49 and 20,989.29

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Solution

The fourth proportional to 65,348.94, 98,032.49 and 20,989.29 is: 31,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,348.94 : 98,032.49 = 20,989.29 : x
  2. Step 2: Convert to fraction form
    65,348.94/98,032.49 = 20,989.29/x
  3. Step 3: Cross multiply
    65,348.94x = 98,032.49 × 20,989.29
  4. Step 4: Simplify right side
    65,348.94x = 2,057,632,257.09
  5. Step 5: Solve for x
    x = 2,057,632,257.09/65,348.94
  6. Step 6: Final answer
    x = 31,486.85

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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.