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Finding the Fourth Proportional to 80,470.44, 120,666.78 and 35,486.28

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Solution

The fourth proportional to 80,470.44, 120,666.78 and 35,486.28 is: 53,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,470.44 : 120,666.78 = 35,486.28 : x
  2. Step 2: Convert to fraction form
    80,470.44/120,666.78 = 35,486.28/x
  3. Step 3: Cross multiply
    80,470.44x = 120,666.78 × 35,486.28
  4. Step 4: Simplify right side
    80,470.44x = 4,282,015,141.78
  5. Step 5: Solve for x
    x = 4,282,015,141.78/80,470.44
  6. Step 6: Final answer
    x = 53,212.27

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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.