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Finding the Fourth Proportional to 213,428.72, 320,184.09 and 95,099.72

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Solution

The fourth proportional to 213,428.72, 320,184.09 and 95,099.72 is: 142,667.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,428.72 : 320,184.09 = 95,099.72 : x
  2. Step 2: Convert to fraction form
    213,428.72/320,184.09 = 95,099.72/x
  3. Step 3: Cross multiply
    213,428.72x = 320,184.09 × 95,099.72
  4. Step 4: Simplify right side
    213,428.72x = 30,449,417,507.57
  5. Step 5: Solve for x
    x = 30,449,417,507.57/213,428.72
  6. Step 6: Final answer
    x = 142,667.85

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1.5x scale

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.