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Finding the Fourth Proportional to 101,859.84, 152,650.08 and 76,878.72

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Solution

The fourth proportional to 101,859.84, 152,650.08 and 76,878.72 is: 115,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,859.84 : 152,650.08 = 76,878.72 : x
  2. Step 2: Convert to fraction form
    101,859.84/152,650.08 = 76,878.72/x
  3. Step 3: Cross multiply
    101,859.84x = 152,650.08 × 76,878.72
  4. Step 4: Simplify right side
    101,859.84x = 11,735,542,758.30
  5. Step 5: Solve for x
    x = 11,735,542,758.30/101,859.84
  6. Step 6: Final answer
    x = 115,212.66

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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.