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Finding the Fourth Proportional to 203,462.80, 280,782.03 and 112,822.59

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Solution

The fourth proportional to 203,462.80, 280,782.03 and 112,822.59 is: 155,697.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,462.80 : 280,782.03 = 112,822.59 : x
  2. Step 2: Convert to fraction form
    203,462.80/280,782.03 = 112,822.59/x
  3. Step 3: Cross multiply
    203,462.80x = 280,782.03 × 112,822.59
  4. Step 4: Simplify right side
    203,462.80x = 31,678,555,850.06
  5. Step 5: Solve for x
    x = 31,678,555,850.06/203,462.80
  6. Step 6: Final answer
    x = 155,697.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.