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Finding the Fourth Proportional to 65,411.88, 98,118.74 and 18,664.75

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Solution

The fourth proportional to 65,411.88, 98,118.74 and 18,664.75 is: 27,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,411.88 : 98,118.74 = 18,664.75 : x
  2. Step 2: Convert to fraction form
    65,411.88/98,118.74 = 18,664.75/x
  3. Step 3: Cross multiply
    65,411.88x = 98,118.74 × 18,664.75
  4. Step 4: Simplify right side
    65,411.88x = 1,831,361,752.42
  5. Step 5: Solve for x
    x = 1,831,361,752.42/65,411.88
  6. Step 6: Final answer
    x = 27,997.39

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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.