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Finding the Fourth Proportional to 77,106.56, 115,659.96 and 21,702.56

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Solution

The fourth proportional to 77,106.56, 115,659.96 and 21,702.56 is: 32,553.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,106.56 : 115,659.96 = 21,702.56 : x
  2. Step 2: Convert to fraction form
    77,106.56/115,659.96 = 21,702.56/x
  3. Step 3: Cross multiply
    77,106.56x = 115,659.96 × 21,702.56
  4. Step 4: Simplify right side
    77,106.56x = 2,510,117,221.50
  5. Step 5: Solve for x
    x = 2,510,117,221.50/77,106.56
  6. Step 6: Final answer
    x = 32,553.87

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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.