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Finding the Fourth Proportional to 152.19, 209.75 and 124.47

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Solution

The fourth proportional to 152.19, 209.75 and 124.47 is: 171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.19 : 209.75 = 124.47 : x
  2. Step 2: Convert to fraction form
    152.19/209.75 = 124.47/x
  3. Step 3: Cross multiply
    152.19x = 209.75 × 124.47
  4. Step 4: Simplify right side
    152.19x = 26,106.96
  5. Step 5: Solve for x
    x = 26,106.96/152.19
  6. Step 6: Final answer
    x = 171.54

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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.