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Finding the Fourth Proportional to 189,912.50, 262,056.56 and 105,018.02

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Solution

The fourth proportional to 189,912.50, 262,056.56 and 105,018.02 is: 144,912.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,912.50 : 262,056.56 = 105,018.02 : x
  2. Step 2: Convert to fraction form
    189,912.50/262,056.56 = 105,018.02/x
  3. Step 3: Cross multiply
    189,912.50x = 262,056.56 × 105,018.02
  4. Step 4: Simplify right side
    189,912.50x = 27,520,661,059.21
  5. Step 5: Solve for x
    x = 27,520,661,059.21/189,912.50
  6. Step 6: Final answer
    x = 144,912.32

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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.