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Finding the Fourth Proportional to 93.02, 128.30 and 61.93

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Solution

The fourth proportional to 93.02, 128.30 and 61.93 is: 85.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.02 : 128.30 = 61.93 : x
  2. Step 2: Convert to fraction form
    93.02/128.30 = 61.93/x
  3. Step 3: Cross multiply
    93.02x = 128.30 × 61.93
  4. Step 4: Simplify right side
    93.02x = 7,945.45
  5. Step 5: Solve for x
    x = 7,945.45/93.02
  6. Step 6: Final answer
    x = 85.42

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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.