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Finding the Fourth Proportional to 189,909.92, 262,075.20 and 109,308

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Solution

The fourth proportional to 189,909.92, 262,075.20 and 109,308 is: 150,844.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,909.92 : 262,075.20 = 109,308 : x
  2. Step 2: Convert to fraction form
    189,909.92/262,075.20 = 109,308/x
  3. Step 3: Cross multiply
    189,909.92x = 262,075.20 × 109,308
  4. Step 4: Simplify right side
    189,909.92x = 28,646,915,961.60
  5. Step 5: Solve for x
    x = 28,646,915,961.60/189,909.92
  6. Step 6: Final answer
    x = 150,844.76

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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.