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Finding the Fourth Proportional to 189,544.47, 261,564.49 and 104,659.71

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Solution

The fourth proportional to 189,544.47, 261,564.49 and 104,659.71 is: 144,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,544.47 : 261,564.49 = 104,659.71 : x
  2. Step 2: Convert to fraction form
    189,544.47/261,564.49 = 104,659.71/x
  3. Step 3: Cross multiply
    189,544.47x = 261,564.49 × 104,659.71
  4. Step 4: Simplify right side
    189,544.47x = 27,375,263,669.70
  5. Step 5: Solve for x
    x = 27,375,263,669.70/189,544.47
  6. Step 6: Final answer
    x = 144,426.60

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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.