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Finding the Fourth Proportional to 189,161.29, 261,034.59 and 103,118.41

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Solution

The fourth proportional to 189,161.29, 261,034.59 and 103,118.41 is: 142,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,161.29 : 261,034.59 = 103,118.41 : x
  2. Step 2: Convert to fraction form
    189,161.29/261,034.59 = 103,118.41/x
  3. Step 3: Cross multiply
    189,161.29x = 261,034.59 × 103,118.41
  4. Step 4: Simplify right side
    189,161.29x = 26,917,471,875.80
  5. Step 5: Solve for x
    x = 26,917,471,875.80/189,161.29
  6. Step 6: Final answer
    x = 142,299.05

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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.