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Finding the Fourth Proportional to 90.63, 124.74 and 77.00

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Solution

The fourth proportional to 90.63, 124.74 and 77.00 is: 105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.63 : 124.74 = 77.00 : x
  2. Step 2: Convert to fraction form
    90.63/124.74 = 77.00/x
  3. Step 3: Cross multiply
    90.63x = 124.74 × 77.00
  4. Step 4: Simplify right side
    90.63x = 9,604.36
  5. Step 5: Solve for x
    x = 9,604.36/90.63
  6. Step 6: Final answer
    x = 105.97

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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.