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Finding the Fourth Proportional to 189,429, 261,412.58 and 103,388.78

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Solution

The fourth proportional to 189,429, 261,412.58 and 103,388.78 is: 142,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,429 : 261,412.58 = 103,388.78 : x
  2. Step 2: Convert to fraction form
    189,429/261,412.58 = 103,388.78/x
  3. Step 3: Cross multiply
    189,429x = 261,412.58 × 103,388.78
  4. Step 4: Simplify right side
    189,429x = 27,027,126,415.79
  5. Step 5: Solve for x
    x = 27,027,126,415.79/189,429
  6. Step 6: Final answer
    x = 142,676.82

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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.