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Finding the Fourth Proportional to 106.87, 147.54 and 99.58

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Solution

The fourth proportional to 106.87, 147.54 and 99.58 is: 137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.87 : 147.54 = 99.58 : x
  2. Step 2: Convert to fraction form
    106.87/147.54 = 99.58/x
  3. Step 3: Cross multiply
    106.87x = 147.54 × 99.58
  4. Step 4: Simplify right side
    106.87x = 14,692.03
  5. Step 5: Solve for x
    x = 14,692.03/106.87
  6. Step 6: Final answer
    x = 137.48

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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.