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Finding the Fourth Proportional to 189,715.42, 261,804.72 and 104,833.90

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Solution

The fourth proportional to 189,715.42, 261,804.72 and 104,833.90 is: 144,669.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,715.42 : 261,804.72 = 104,833.90 : x
  2. Step 2: Convert to fraction form
    189,715.42/261,804.72 = 104,833.90/x
  3. Step 3: Cross multiply
    189,715.42x = 261,804.72 × 104,833.90
  4. Step 4: Simplify right side
    189,715.42x = 27,446,009,836.01
  5. Step 5: Solve for x
    x = 27,446,009,836.01/189,715.42
  6. Step 6: Final answer
    x = 144,669.37

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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.