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Finding the Fourth Proportional to 218,505.95, 301,543.85 and 123,016.06

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Solution

The fourth proportional to 218,505.95, 301,543.85 and 123,016.06 is: 169,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,505.95 : 301,543.85 = 123,016.06 : x
  2. Step 2: Convert to fraction form
    218,505.95/301,543.85 = 123,016.06/x
  3. Step 3: Cross multiply
    218,505.95x = 301,543.85 × 123,016.06
  4. Step 4: Simplify right side
    218,505.95x = 37,094,737,028.70
  5. Step 5: Solve for x
    x = 37,094,737,028.70/218,505.95
  6. Step 6: Final answer
    x = 169,765.34

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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.