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Finding the Fourth Proportional to 189,207.50, 283,886.98 and 76,896.34

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Solution

The fourth proportional to 189,207.50, 283,886.98 and 76,896.34 is: 115,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,207.50 : 283,886.98 = 76,896.34 : x
  2. Step 2: Convert to fraction form
    189,207.50/283,886.98 = 76,896.34/x
  3. Step 3: Cross multiply
    189,207.50x = 283,886.98 × 76,896.34
  4. Step 4: Simplify right side
    189,207.50x = 21,829,868,833.69
  5. Step 5: Solve for x
    x = 21,829,868,833.69/189,207.50
  6. Step 6: Final answer
    x = 115,375.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.