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Finding the Fourth Proportional to 253,866.41, 380,802.04 and 120,759.92

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Solution

The fourth proportional to 253,866.41, 380,802.04 and 120,759.92 is: 181,141.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,866.41 : 380,802.04 = 120,759.92 : x
  2. Step 2: Convert to fraction form
    253,866.41/380,802.04 = 120,759.92/x
  3. Step 3: Cross multiply
    253,866.41x = 380,802.04 × 120,759.92
  4. Step 4: Simplify right side
    253,866.41x = 45,985,621,680.33
  5. Step 5: Solve for x
    x = 45,985,621,680.33/253,866.41
  6. Step 6: Final answer
    x = 181,141.03

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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.