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Finding the Fourth Proportional to 218,505.67, 301,543.46 and 123,015.78

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Solution

The fourth proportional to 218,505.67, 301,543.46 and 123,015.78 is: 169,764.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,505.67 : 301,543.46 = 123,015.78 : x
  2. Step 2: Convert to fraction form
    218,505.67/301,543.46 = 123,015.78/x
  3. Step 3: Cross multiply
    218,505.67x = 301,543.46 × 123,015.78
  4. Step 4: Simplify right side
    218,505.67x = 37,094,603,782.03
  5. Step 5: Solve for x
    x = 37,094,603,782.03/218,505.67
  6. Step 6: Final answer
    x = 169,764.95

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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.