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Finding the Fourth Proportional to 114.57, 172.53 and 85.88

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Solution

The fourth proportional to 114.57, 172.53 and 85.88 is: 129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.57 : 172.53 = 85.88 : x
  2. Step 2: Convert to fraction form
    114.57/172.53 = 85.88/x
  3. Step 3: Cross multiply
    114.57x = 172.53 × 85.88
  4. Step 4: Simplify right side
    114.57x = 14,816.01
  5. Step 5: Solve for x
    x = 14,816.01/114.57
  6. Step 6: Final answer
    x = 129.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.