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Finding the Fourth Proportional to 65,999.82, 99,018.02 and 30,472

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Solution

The fourth proportional to 65,999.82, 99,018.02 and 30,472 is: 45,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,999.82 : 99,018.02 = 30,472 : x
  2. Step 2: Convert to fraction form
    65,999.82/99,018.02 = 30,472/x
  3. Step 3: Cross multiply
    65,999.82x = 99,018.02 × 30,472
  4. Step 4: Simplify right side
    65,999.82x = 3,017,277,105.44
  5. Step 5: Solve for x
    x = 3,017,277,105.44/65,999.82
  6. Step 6: Final answer
    x = 45,716.44

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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.