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Finding the Fourth Proportional to 116.23, 160.34 and 72.49

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Solution

The fourth proportional to 116.23, 160.34 and 72.49 is: 100.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.23 : 160.34 = 72.49 : x
  2. Step 2: Convert to fraction form
    116.23/160.34 = 72.49/x
  3. Step 3: Cross multiply
    116.23x = 160.34 × 72.49
  4. Step 4: Simplify right side
    116.23x = 11,622.24
  5. Step 5: Solve for x
    x = 11,622.24/116.23
  6. Step 6: Final answer
    x = 100.00

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