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Finding the Fourth Proportional to 218,573.28, 301,628.16 and 123,081.12

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Solution

The fourth proportional to 218,573.28, 301,628.16 and 123,081.12 is: 169,850.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,573.28 : 301,628.16 = 123,081.12 : x
  2. Step 2: Convert to fraction form
    218,573.28/301,628.16 = 123,081.12/x
  3. Step 3: Cross multiply
    218,573.28x = 301,628.16 × 123,081.12
  4. Step 4: Simplify right side
    218,573.28x = 37,124,731,756.34
  5. Step 5: Solve for x
    x = 37,124,731,756.34/218,573.28
  6. Step 6: Final answer
    x = 169,850.28

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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.