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Finding the Fourth Proportional to 264,102.84, 396,189.54 and 77,111.64

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Solution

The fourth proportional to 264,102.84, 396,189.54 and 77,111.64 is: 115,677.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,102.84 : 396,189.54 = 77,111.64 : x
  2. Step 2: Convert to fraction form
    264,102.84/396,189.54 = 77,111.64/x
  3. Step 3: Cross multiply
    264,102.84x = 396,189.54 × 77,111.64
  4. Step 4: Simplify right side
    264,102.84x = 30,550,825,180.25
  5. Step 5: Solve for x
    x = 30,550,825,180.25/264,102.84
  6. Step 6: Final answer
    x = 115,677.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.