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Finding the Fourth Proportional to 218,661.64, 301,747.62 and 123,162.64

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Solution

The fourth proportional to 218,661.64, 301,747.62 and 123,162.64 is: 169,961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,661.64 : 301,747.62 = 123,162.64 : x
  2. Step 2: Convert to fraction form
    218,661.64/301,747.62 = 123,162.64/x
  3. Step 3: Cross multiply
    218,661.64x = 301,747.62 × 123,162.64
  4. Step 4: Simplify right side
    218,661.64x = 37,164,033,492.92
  5. Step 5: Solve for x
    x = 37,164,033,492.92/218,661.64
  6. Step 6: Final answer
    x = 169,961.38

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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.