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Finding the Fourth Proportional to 146.51, 218.71 and 124.70

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Solution

The fourth proportional to 146.51, 218.71 and 124.70 is: 186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.51 : 218.71 = 124.70 : x
  2. Step 2: Convert to fraction form
    146.51/218.71 = 124.70/x
  3. Step 3: Cross multiply
    146.51x = 218.71 × 124.70
  4. Step 4: Simplify right side
    146.51x = 27,271.42
  5. Step 5: Solve for x
    x = 27,271.42/146.51
  6. Step 6: Final answer
    x = 186.14

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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.