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Finding the Fourth Proportional to 70.56, 97.47 and 51.26

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Solution

The fourth proportional to 70.56, 97.47 and 51.26 is: 70.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.56 : 97.47 = 51.26 : x
  2. Step 2: Convert to fraction form
    70.56/97.47 = 51.26/x
  3. Step 3: Cross multiply
    70.56x = 97.47 × 51.26
  4. Step 4: Simplify right side
    70.56x = 4,995.82
  5. Step 5: Solve for x
    x = 4,995.82/70.56
  6. Step 6: Final answer
    x = 70.80

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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.