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Finding the Fourth Proportional to 102,239.18, 141,096.90 and 61,956.90

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Solution

The fourth proportional to 102,239.18, 141,096.90 and 61,956.90 is: 85,504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,239.18 : 141,096.90 = 61,956.90 : x
  2. Step 2: Convert to fraction form
    102,239.18/141,096.90 = 61,956.90/x
  3. Step 3: Cross multiply
    102,239.18x = 141,096.90 × 61,956.90
  4. Step 4: Simplify right side
    102,239.18x = 8,741,926,755.95
  5. Step 5: Solve for x
    x = 8,741,926,755.95/102,239.18
  6. Step 6: Final answer
    x = 85,504.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.