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Finding the Fourth Proportional to 126,166.40, 189,076.80 and 102,838.40

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Solution

The fourth proportional to 126,166.40, 189,076.80 and 102,838.40 is: 154,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,166.40 : 189,076.80 = 102,838.40 : x
  2. Step 2: Convert to fraction form
    126,166.40/189,076.80 = 102,838.40/x
  3. Step 3: Cross multiply
    126,166.40x = 189,076.80 × 102,838.40
  4. Step 4: Simplify right side
    126,166.40x = 19,444,355,589.12
  5. Step 5: Solve for x
    x = 19,444,355,589.12/126,166.40
  6. Step 6: Final answer
    x = 154,116.75

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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.