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Finding the Fourth Proportional to 268,238.05, 402,357.08 and 120,782.05

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Solution

The fourth proportional to 268,238.05, 402,357.08 and 120,782.05 is: 181,173.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,238.05 : 402,357.08 = 120,782.05 : x
  2. Step 2: Convert to fraction form
    268,238.05/402,357.08 = 120,782.05/x
  3. Step 3: Cross multiply
    268,238.05x = 402,357.08 × 120,782.05
  4. Step 4: Simplify right side
    268,238.05x = 48,597,512,350.50
  5. Step 5: Solve for x
    x = 48,597,512,350.50/268,238.05
  6. Step 6: Final answer
    x = 181,173.08

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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.