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Finding the Fourth Proportional to 217,653.66, 300,347.40 and 120,852.54

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Solution

The fourth proportional to 217,653.66, 300,347.40 and 120,852.54 is: 166,768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,653.66 : 300,347.40 = 120,852.54 : x
  2. Step 2: Convert to fraction form
    217,653.66/300,347.40 = 120,852.54/x
  3. Step 3: Cross multiply
    217,653.66x = 300,347.40 × 120,852.54
  4. Step 4: Simplify right side
    217,653.66x = 36,297,746,172.40
  5. Step 5: Solve for x
    x = 36,297,746,172.40/217,653.66
  6. Step 6: Final answer
    x = 166,768.37

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1.5x scale

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.