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Finding the Fourth Proportional to 253,964.40, 381,108.60 and 120,994.80

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Solution

The fourth proportional to 253,964.40, 381,108.60 and 120,994.80 is: 181,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,964.40 : 381,108.60 = 120,994.80 : x
  2. Step 2: Convert to fraction form
    253,964.40/381,108.60 = 120,994.80/x
  3. Step 3: Cross multiply
    253,964.40x = 381,108.60 × 120,994.80
  4. Step 4: Simplify right side
    253,964.40x = 46,112,158,835.28
  5. Step 5: Solve for x
    x = 46,112,158,835.28/253,964.40
  6. Step 6: Final answer
    x = 181,569.38

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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.