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Finding the Fourth Proportional to 221,784, 306,064.08 and 121,182

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Solution

The fourth proportional to 221,784, 306,064.08 and 121,182 is: 167,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,784 : 306,064.08 = 121,182 : x
  2. Step 2: Convert to fraction form
    221,784/306,064.08 = 121,182/x
  3. Step 3: Cross multiply
    221,784x = 306,064.08 × 121,182
  4. Step 4: Simplify right side
    221,784x = 37,089,457,342.56
  5. Step 5: Solve for x
    x = 37,089,457,342.56/221,784
  6. Step 6: Final answer
    x = 167,232.34

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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.