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Finding the Fourth Proportional to 144,912.10, 217,266.90 and 85,717.30

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Solution

The fourth proportional to 144,912.10, 217,266.90 and 85,717.30 is: 128,516.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,912.10 : 217,266.90 = 85,717.30 : x
  2. Step 2: Convert to fraction form
    144,912.10/217,266.90 = 85,717.30/x
  3. Step 3: Cross multiply
    144,912.10x = 217,266.90 × 85,717.30
  4. Step 4: Simplify right side
    144,912.10x = 18,623,532,047.37
  5. Step 5: Solve for x
    x = 18,623,532,047.37/144,912.10
  6. Step 6: Final answer
    x = 128,516.06

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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.