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Finding the Fourth Proportional to 189,477.42, 261,469.64 and 107,797.98

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Solution

The fourth proportional to 189,477.42, 261,469.64 and 107,797.98 is: 148,755.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,477.42 : 261,469.64 = 107,797.98 : x
  2. Step 2: Convert to fraction form
    189,477.42/261,469.64 = 107,797.98/x
  3. Step 3: Cross multiply
    189,477.42x = 261,469.64 × 107,797.98
  4. Step 4: Simplify right side
    189,477.42x = 28,185,899,023.33
  5. Step 5: Solve for x
    x = 28,185,899,023.33/189,477.42
  6. Step 6: Final answer
    x = 148,755.98

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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.