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Finding the Fourth Proportional to 143,304.28, 214,628.56 and 68,477

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Solution

The fourth proportional to 143,304.28, 214,628.56 and 68,477 is: 102,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,304.28 : 214,628.56 = 68,477 : x
  2. Step 2: Convert to fraction form
    143,304.28/214,628.56 = 68,477/x
  3. Step 3: Cross multiply
    143,304.28x = 214,628.56 × 68,477
  4. Step 4: Simplify right side
    143,304.28x = 14,697,119,903.12
  5. Step 5: Solve for x
    x = 14,697,119,903.12/143,304.28
  6. Step 6: Final answer
    x = 102,558.83

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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.