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Finding the Fourth Proportional to 65,906, 98,859.48 and 16,658

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Solution

The fourth proportional to 65,906, 98,859.48 and 16,658 is: 24,987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,906 : 98,859.48 = 16,658 : x
  2. Step 2: Convert to fraction form
    65,906/98,859.48 = 16,658/x
  3. Step 3: Cross multiply
    65,906x = 98,859.48 × 16,658
  4. Step 4: Simplify right side
    65,906x = 1,646,801,217.84
  5. Step 5: Solve for x
    x = 1,646,801,217.84/65,906
  6. Step 6: Final answer
    x = 24,987.12

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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.