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Finding the Fourth Proportional to 65,251.06, 97,860.62 and 20,868.62

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Solution

The fourth proportional to 65,251.06, 97,860.62 and 20,868.62 is: 31,297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,251.06 : 97,860.62 = 20,868.62 : x
  2. Step 2: Convert to fraction form
    65,251.06/97,860.62 = 20,868.62/x
  3. Step 3: Cross multiply
    65,251.06x = 97,860.62 × 20,868.62
  4. Step 4: Simplify right side
    65,251.06x = 2,042,216,091.74
  5. Step 5: Solve for x
    x = 2,042,216,091.74/65,251.06
  6. Step 6: Final answer
    x = 31,297.82

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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.