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Finding the Fourth Proportional to 107.23, 147.98 and 58.11

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Solution

The fourth proportional to 107.23, 147.98 and 58.11 is: 80.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.23 : 147.98 = 58.11 : x
  2. Step 2: Convert to fraction form
    107.23/147.98 = 58.11/x
  3. Step 3: Cross multiply
    107.23x = 147.98 × 58.11
  4. Step 4: Simplify right side
    107.23x = 8,598.31
  5. Step 5: Solve for x
    x = 8,598.31/107.23
  6. Step 6: Final answer
    x = 80.19

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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.