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Finding the Fourth Proportional to 189,138.88, 261,009.92 and 103,097.84

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Solution

The fourth proportional to 189,138.88, 261,009.92 and 103,097.84 is: 142,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,138.88 : 261,009.92 = 103,097.84 : x
  2. Step 2: Convert to fraction form
    189,138.88/261,009.92 = 103,097.84/x
  3. Step 3: Cross multiply
    189,138.88x = 261,009.92 × 103,097.84
  4. Step 4: Simplify right side
    189,138.88x = 26,909,558,970.57
  5. Step 5: Solve for x
    x = 26,909,558,970.57/189,138.88
  6. Step 6: Final answer
    x = 142,274.07

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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.