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Finding the Fourth Proportional to 93.07, 128.01 and 78.49

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Solution

The fourth proportional to 93.07, 128.01 and 78.49 is: 107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.07 : 128.01 = 78.49 : x
  2. Step 2: Convert to fraction form
    93.07/128.01 = 78.49/x
  3. Step 3: Cross multiply
    93.07x = 128.01 × 78.49
  4. Step 4: Simplify right side
    93.07x = 10,047.50
  5. Step 5: Solve for x
    x = 10,047.50/93.07
  6. Step 6: Final answer
    x = 107.96

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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.