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Finding the Fourth Proportional to 98,965.26, 148,447.89 and 81,381.78

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Solution

The fourth proportional to 98,965.26, 148,447.89 and 81,381.78 is: 122,072.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,965.26 : 148,447.89 = 81,381.78 : x
  2. Step 2: Convert to fraction form
    98,965.26/148,447.89 = 81,381.78/x
  3. Step 3: Cross multiply
    98,965.26x = 148,447.89 × 81,381.78
  4. Step 4: Simplify right side
    98,965.26x = 12,080,953,525.44
  5. Step 5: Solve for x
    x = 12,080,953,525.44/98,965.26
  6. Step 6: Final answer
    x = 122,072.67

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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.