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Finding the Fourth Proportional to 93.20, 128.57 and 61.74

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Solution

The fourth proportional to 93.20, 128.57 and 61.74 is: 85.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.20 : 128.57 = 61.74 : x
  2. Step 2: Convert to fraction form
    93.20/128.57 = 61.74/x
  3. Step 3: Cross multiply
    93.20x = 128.57 × 61.74
  4. Step 4: Simplify right side
    93.20x = 7,937.91
  5. Step 5: Solve for x
    x = 7,937.91/93.20
  6. Step 6: Final answer
    x = 85.17

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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.