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Finding the Fourth Proportional to 289,895.88, 434,793 and 76,665.84

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Solution

The fourth proportional to 289,895.88, 434,793 and 76,665.84 is: 114,985.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,895.88 : 434,793 = 76,665.84 : x
  2. Step 2: Convert to fraction form
    289,895.88/434,793 = 76,665.84/x
  3. Step 3: Cross multiply
    289,895.88x = 434,793 × 76,665.84
  4. Step 4: Simplify right side
    289,895.88x = 33,333,770,571.12
  5. Step 5: Solve for x
    x = 33,333,770,571.12/289,895.88
  6. Step 6: Final answer
    x = 114,985.32

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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.