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Finding the Fourth Proportional to 235,784, 325,381.96 and 128,354.84

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Solution

The fourth proportional to 235,784, 325,381.96 and 128,354.84 is: 177,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,784 : 325,381.96 = 128,354.84 : x
  2. Step 2: Convert to fraction form
    235,784/325,381.96 = 128,354.84/x
  3. Step 3: Cross multiply
    235,784x = 325,381.96 × 128,354.84
  4. Step 4: Simplify right side
    235,784x = 41,764,349,414.69
  5. Step 5: Solve for x
    x = 41,764,349,414.69/235,784
  6. Step 6: Final answer
    x = 177,129.70

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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.