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Finding the Fourth Proportional to 147.51, 220.20 and 125.70

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Solution

The fourth proportional to 147.51, 220.20 and 125.70 is: 187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.51 : 220.20 = 125.70 : x
  2. Step 2: Convert to fraction form
    147.51/220.20 = 125.70/x
  3. Step 3: Cross multiply
    147.51x = 220.20 × 125.70
  4. Step 4: Simplify right side
    147.51x = 27,679.14
  5. Step 5: Solve for x
    x = 27,679.14/147.51
  6. Step 6: Final answer
    x = 187.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.