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Finding the Fourth Proportional to 106.47, 147 and 90.13

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Solution

The fourth proportional to 106.47, 147 and 90.13 is: 124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.47 : 147 = 90.13 : x
  2. Step 2: Convert to fraction form
    106.47/147 = 90.13/x
  3. Step 3: Cross multiply
    106.47x = 147 × 90.13
  4. Step 4: Simplify right side
    106.47x = 13,249.11
  5. Step 5: Solve for x
    x = 13,249.11/106.47
  6. Step 6: Final answer
    x = 124.44

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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.