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Finding the Fourth Proportional to 189,247.82, 261,158.69 and 103,207.46

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Solution

The fourth proportional to 189,247.82, 261,158.69 and 103,207.46 is: 142,424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,247.82 : 261,158.69 = 103,207.46 : x
  2. Step 2: Convert to fraction form
    189,247.82/261,158.69 = 103,207.46/x
  3. Step 3: Cross multiply
    189,247.82x = 261,158.69 × 103,207.46
  4. Step 4: Simplify right side
    189,247.82x = 26,953,524,004.05
  5. Step 5: Solve for x
    x = 26,953,524,004.05/189,247.82
  6. Step 6: Final answer
    x = 142,424.49

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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.