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Finding the Fourth Proportional to 106.44, 147.06 and 89.40

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Solution

The fourth proportional to 106.44, 147.06 and 89.40 is: 123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.44 : 147.06 = 89.40 : x
  2. Step 2: Convert to fraction form
    106.44/147.06 = 89.40/x
  3. Step 3: Cross multiply
    106.44x = 147.06 × 89.40
  4. Step 4: Simplify right side
    106.44x = 13,147.16
  5. Step 5: Solve for x
    x = 13,147.16/106.44
  6. Step 6: Final answer
    x = 123.52

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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.