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Finding the Fourth Proportional to 93.50, 128.09 and 90.03

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Solution

The fourth proportional to 93.50, 128.09 and 90.03 is: 123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.50 : 128.09 = 90.03 : x
  2. Step 2: Convert to fraction form
    93.50/128.09 = 90.03/x
  3. Step 3: Cross multiply
    93.50x = 128.09 × 90.03
  4. Step 4: Simplify right side
    93.50x = 11,531.49
  5. Step 5: Solve for x
    x = 11,531.49/93.50
  6. Step 6: Final answer
    x = 123.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.