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Finding the Fourth Proportional to 119.04, 164.32 and 90.14

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Solution

The fourth proportional to 119.04, 164.32 and 90.14 is: 124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.04 : 164.32 = 90.14 : x
  2. Step 2: Convert to fraction form
    119.04/164.32 = 90.14/x
  3. Step 3: Cross multiply
    119.04x = 164.32 × 90.14
  4. Step 4: Simplify right side
    119.04x = 14,811.80
  5. Step 5: Solve for x
    x = 14,811.80/119.04
  6. Step 6: Final answer
    x = 124.43

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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.