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Finding the Fourth Proportional to 149,636.16, 206,489.72 and 85,096.67

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Solution

The fourth proportional to 149,636.16, 206,489.72 and 85,096.67 is: 117,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,636.16 : 206,489.72 = 85,096.67 : x
  2. Step 2: Convert to fraction form
    149,636.16/206,489.72 = 85,096.67/x
  3. Step 3: Cross multiply
    149,636.16x = 206,489.72 × 85,096.67
  4. Step 4: Simplify right side
    149,636.16x = 17,571,586,741.53
  5. Step 5: Solve for x
    x = 17,571,586,741.53/149,636.16
  6. Step 6: Final answer
    x = 117,428.75

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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.