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Finding the Fourth Proportional to 92.31, 127.19 and 70.41

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Solution

The fourth proportional to 92.31, 127.19 and 70.41 is: 97.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.31 : 127.19 = 70.41 : x
  2. Step 2: Convert to fraction form
    92.31/127.19 = 70.41/x
  3. Step 3: Cross multiply
    92.31x = 127.19 × 70.41
  4. Step 4: Simplify right side
    92.31x = 8,955.10
  5. Step 5: Solve for x
    x = 8,955.10/92.31
  6. Step 6: Final answer
    x = 97.01

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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.