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Finding the Fourth Proportional to 114.77, 172.31 and 78.09

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Solution

The fourth proportional to 114.77, 172.31 and 78.09 is: 117.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.77 : 172.31 = 78.09 : x
  2. Step 2: Convert to fraction form
    114.77/172.31 = 78.09/x
  3. Step 3: Cross multiply
    114.77x = 172.31 × 78.09
  4. Step 4: Simplify right side
    114.77x = 13,455.30
  5. Step 5: Solve for x
    x = 13,455.30/114.77
  6. Step 6: Final answer
    x = 117.24

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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.