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Finding the Fourth Proportional to 218,800.56, 301,949.84 and 123,310.20

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Solution

The fourth proportional to 218,800.56, 301,949.84 and 123,310.20 is: 170,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,800.56 : 301,949.84 = 123,310.20 : x
  2. Step 2: Convert to fraction form
    218,800.56/301,949.84 = 123,310.20/x
  3. Step 3: Cross multiply
    218,800.56x = 301,949.84 × 123,310.20
  4. Step 4: Simplify right side
    218,800.56x = 37,233,495,160.37
  5. Step 5: Solve for x
    x = 37,233,495,160.37/218,800.56
  6. Step 6: Final answer
    x = 170,170.93

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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.