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Finding the Fourth Proportional to 143,294.81, 214,738.47 and 105,558.12

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Solution

The fourth proportional to 143,294.81, 214,738.47 and 105,558.12 is: 158,187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,294.81 : 214,738.47 = 105,558.12 : x
  2. Step 2: Convert to fraction form
    143,294.81/214,738.47 = 105,558.12/x
  3. Step 3: Cross multiply
    143,294.81x = 214,738.47 × 105,558.12
  4. Step 4: Simplify right side
    143,294.81x = 22,667,389,184.88
  5. Step 5: Solve for x
    x = 22,667,389,184.88/143,294.81
  6. Step 6: Final answer
    x = 158,187.10

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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.