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Finding the Fourth Proportional to 116,763, 161,133.12 and 66,462

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Solution

The fourth proportional to 116,763, 161,133.12 and 66,462 is: 91,717.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,763 : 161,133.12 = 66,462 : x
  2. Step 2: Convert to fraction form
    116,763/161,133.12 = 66,462/x
  3. Step 3: Cross multiply
    116,763x = 161,133.12 × 66,462
  4. Step 4: Simplify right side
    116,763x = 10,709,229,421.44
  5. Step 5: Solve for x
    x = 10,709,229,421.44/116,763
  6. Step 6: Final answer
    x = 91,717.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.