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Finding the Fourth Proportional to 147.93, 221.55 and 70.94

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Solution

The fourth proportional to 147.93, 221.55 and 70.94 is: 106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.93 : 221.55 = 70.94 : x
  2. Step 2: Convert to fraction form
    147.93/221.55 = 70.94/x
  3. Step 3: Cross multiply
    147.93x = 221.55 × 70.94
  4. Step 4: Simplify right side
    147.93x = 15,717.31
  5. Step 5: Solve for x
    x = 15,717.31/147.93
  6. Step 6: Final answer
    x = 106.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.