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Finding the Fourth Proportional to 65,734.60, 98,616.30 and 21,353.80

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Solution

The fourth proportional to 65,734.60, 98,616.30 and 21,353.80 is: 32,035.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,734.60 : 98,616.30 = 21,353.80 : x
  2. Step 2: Convert to fraction form
    65,734.60/98,616.30 = 21,353.80/x
  3. Step 3: Cross multiply
    65,734.60x = 98,616.30 × 21,353.80
  4. Step 4: Simplify right side
    65,734.60x = 2,105,832,746.94
  5. Step 5: Solve for x
    x = 2,105,832,746.94/65,734.60
  6. Step 6: Final answer
    x = 32,035.38

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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.