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Finding the Fourth Proportional to 218,506.67, 301,544.84 and 123,016.78

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Solution

The fourth proportional to 218,506.67, 301,544.84 and 123,016.78 is: 169,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,506.67 : 301,544.84 = 123,016.78 : x
  2. Step 2: Convert to fraction form
    218,506.67/301,544.84 = 123,016.78/x
  3. Step 3: Cross multiply
    218,506.67x = 301,544.84 × 123,016.78
  4. Step 4: Simplify right side
    218,506.67x = 37,095,075,242.42
  5. Step 5: Solve for x
    x = 37,095,075,242.42/218,506.67
  6. Step 6: Final answer
    x = 169,766.33

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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.