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Finding the Fourth Proportional to 105.90, 146.16 and 89.50

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Solution

The fourth proportional to 105.90, 146.16 and 89.50 is: 123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.90 : 146.16 = 89.50 : x
  2. Step 2: Convert to fraction form
    105.90/146.16 = 89.50/x
  3. Step 3: Cross multiply
    105.90x = 146.16 × 89.50
  4. Step 4: Simplify right side
    105.90x = 13,081.32
  5. Step 5: Solve for x
    x = 13,081.32/105.90
  6. Step 6: Final answer
    x = 123.53

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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.