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Finding the Fourth Proportional to 189,405.32, 261,364.46 and 112,918.64

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Solution

The fourth proportional to 189,405.32, 261,364.46 and 112,918.64 is: 155,818.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,405.32 : 261,364.46 = 112,918.64 : x
  2. Step 2: Convert to fraction form
    189,405.32/261,364.46 = 112,918.64/x
  3. Step 3: Cross multiply
    189,405.32x = 261,364.46 × 112,918.64
  4. Step 4: Simplify right side
    189,405.32x = 29,512,919,367.53
  5. Step 5: Solve for x
    x = 29,512,919,367.53/189,405.32
  6. Step 6: Final answer
    x = 155,818.85

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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.