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Finding the Fourth Proportional to 106.98, 147.51 and 77.41

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Solution

The fourth proportional to 106.98, 147.51 and 77.41 is: 106.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.98 : 147.51 = 77.41 : x
  2. Step 2: Convert to fraction form
    106.98/147.51 = 77.41/x
  3. Step 3: Cross multiply
    106.98x = 147.51 × 77.41
  4. Step 4: Simplify right side
    106.98x = 11,418.51
  5. Step 5: Solve for x
    x = 11,418.51/106.98
  6. Step 6: Final answer
    x = 106.74

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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.