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Finding the Fourth Proportional to 101,643.19, 152,343.82 and 76,600.68

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Solution

The fourth proportional to 101,643.19, 152,343.82 and 76,600.68 is: 114,809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,643.19 : 152,343.82 = 76,600.68 : x
  2. Step 2: Convert to fraction form
    101,643.19/152,343.82 = 76,600.68/x
  3. Step 3: Cross multiply
    101,643.19x = 152,343.82 × 76,600.68
  4. Step 4: Simplify right side
    101,643.19x = 11,669,640,205.80
  5. Step 5: Solve for x
    x = 11,669,640,205.80/101,643.19
  6. Step 6: Final answer
    x = 114,809.86

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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.