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Finding the Fourth Proportional to 112.90, 168.40 and 89.98

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Solution

The fourth proportional to 112.90, 168.40 and 89.98 is: 134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.90 : 168.40 = 89.98 : x
  2. Step 2: Convert to fraction form
    112.90/168.40 = 89.98/x
  3. Step 3: Cross multiply
    112.90x = 168.40 × 89.98
  4. Step 4: Simplify right side
    112.90x = 15,152.63
  5. Step 5: Solve for x
    x = 15,152.63/112.90
  6. Step 6: Final answer
    x = 134.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.