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Finding the Fourth Proportional to 116,471.78, 160,731 and 66,170.78

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Solution

The fourth proportional to 116,471.78, 160,731 and 66,170.78 is: 91,315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,471.78 : 160,731 = 66,170.78 : x
  2. Step 2: Convert to fraction form
    116,471.78/160,731 = 66,170.78/x
  3. Step 3: Cross multiply
    116,471.78x = 160,731 × 66,170.78
  4. Step 4: Simplify right side
    116,471.78x = 10,635,695,640.18
  5. Step 5: Solve for x
    x = 10,635,695,640.18/116,471.78
  6. Step 6: Final answer
    x = 91,315.64

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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.