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Finding the Fourth Proportional to 106.64, 147.26 and 100.89

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Solution

The fourth proportional to 106.64, 147.26 and 100.89 is: 139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.64 : 147.26 = 100.89 : x
  2. Step 2: Convert to fraction form
    106.64/147.26 = 100.89/x
  3. Step 3: Cross multiply
    106.64x = 147.26 × 100.89
  4. Step 4: Simplify right side
    106.64x = 14,856.62
  5. Step 5: Solve for x
    x = 14,856.62/106.64
  6. Step 6: Final answer
    x = 139.32

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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.