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Finding the Fourth Proportional to 253,992.32, 380,811.36 and 111,769.28

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Solution

The fourth proportional to 253,992.32, 380,811.36 and 111,769.28 is: 167,575.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,992.32 : 380,811.36 = 111,769.28 : x
  2. Step 2: Convert to fraction form
    253,992.32/380,811.36 = 111,769.28/x
  3. Step 3: Cross multiply
    253,992.32x = 380,811.36 × 111,769.28
  4. Step 4: Simplify right side
    253,992.32x = 42,563,011,523.02
  5. Step 5: Solve for x
    x = 42,563,011,523.02/253,992.32
  6. Step 6: Final answer
    x = 167,575.98

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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.