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Finding the Fourth Proportional to 65,833.80, 98,766.30 and 21,460.80

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Solution

The fourth proportional to 65,833.80, 98,766.30 and 21,460.80 is: 32,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,833.80 : 98,766.30 = 21,460.80 : x
  2. Step 2: Convert to fraction form
    65,833.80/98,766.30 = 21,460.80/x
  3. Step 3: Cross multiply
    65,833.80x = 98,766.30 × 21,460.80
  4. Step 4: Simplify right side
    65,833.80x = 2,119,603,811.04
  5. Step 5: Solve for x
    x = 2,119,603,811.04/65,833.80
  6. Step 6: Final answer
    x = 32,196.29

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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.