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Finding the Fourth Proportional to 126,420.40, 189,411.90 and 108,924.40

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Solution

The fourth proportional to 126,420.40, 189,411.90 and 108,924.40 is: 163,198.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,420.40 : 189,411.90 = 108,924.40 : x
  2. Step 2: Convert to fraction form
    126,420.40/189,411.90 = 108,924.40/x
  3. Step 3: Cross multiply
    126,420.40x = 189,411.90 × 108,924.40
  4. Step 4: Simplify right side
    126,420.40x = 20,631,577,560.36
  5. Step 5: Solve for x
    x = 20,631,577,560.36/126,420.40
  6. Step 6: Final answer
    x = 163,198.17

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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.