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Finding the Fourth Proportional to 272,912.40, 409,222.80 and 95,425.20

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Solution

The fourth proportional to 272,912.40, 409,222.80 and 95,425.20 is: 143,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,912.40 : 409,222.80 = 95,425.20 : x
  2. Step 2: Convert to fraction form
    272,912.40/409,222.80 = 95,425.20/x
  3. Step 3: Cross multiply
    272,912.40x = 409,222.80 × 95,425.20
  4. Step 4: Simplify right side
    272,912.40x = 39,050,167,534.56
  5. Step 5: Solve for x
    x = 39,050,167,534.56/272,912.40
  6. Step 6: Final answer
    x = 143,086.82

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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.