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Finding the Fourth Proportional to 43,665.49, 65,477.49 and 19,966

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Solution

The fourth proportional to 43,665.49, 65,477.49 and 19,966 is: 29,939.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,665.49 : 65,477.49 = 19,966 : x
  2. Step 2: Convert to fraction form
    43,665.49/65,477.49 = 19,966/x
  3. Step 3: Cross multiply
    43,665.49x = 65,477.49 × 19,966
  4. Step 4: Simplify right side
    43,665.49x = 1,307,323,565.34
  5. Step 5: Solve for x
    x = 1,307,323,565.34/43,665.49
  6. Step 6: Final answer
    x = 29,939.51

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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.