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Finding the Fourth Proportional to 189,506.76, 261,517.72 and 104,622

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Solution

The fourth proportional to 189,506.76, 261,517.72 and 104,622 is: 144,377.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,506.76 : 261,517.72 = 104,622 : x
  2. Step 2: Convert to fraction form
    189,506.76/261,517.72 = 104,622/x
  3. Step 3: Cross multiply
    189,506.76x = 261,517.72 × 104,622
  4. Step 4: Simplify right side
    189,506.76x = 27,360,506,901.84
  5. Step 5: Solve for x
    x = 27,360,506,901.84/189,506.76
  6. Step 6: Final answer
    x = 144,377.47

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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.