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Finding the Fourth Proportional to 84,702.15, 127,065.31 and 27,763.88

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Solution

The fourth proportional to 84,702.15, 127,065.31 and 27,763.88 is: 41,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,702.15 : 127,065.31 = 27,763.88 : x
  2. Step 2: Convert to fraction form
    84,702.15/127,065.31 = 27,763.88/x
  3. Step 3: Cross multiply
    84,702.15x = 127,065.31 × 27,763.88
  4. Step 4: Simplify right side
    84,702.15x = 3,527,825,314.27
  5. Step 5: Solve for x
    x = 3,527,825,314.27/84,702.15
  6. Step 6: Final answer
    x = 41,649.77

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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.