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Finding the Fourth Proportional to 189,086.40, 260,992.80 and 132,511.68

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Solution

The fourth proportional to 189,086.40, 260,992.80 and 132,511.68 is: 182,903.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,086.40 : 260,992.80 = 132,511.68 : x
  2. Step 2: Convert to fraction form
    189,086.40/260,992.80 = 132,511.68/x
  3. Step 3: Cross multiply
    189,086.40x = 260,992.80 × 132,511.68
  4. Step 4: Simplify right side
    189,086.40x = 34,584,594,395.90
  5. Step 5: Solve for x
    x = 34,584,594,395.90/189,086.40
  6. Step 6: Final answer
    x = 182,903.66

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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.