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Finding the Fourth Proportional to 143,178.71, 214,768.64 and 48,409.40

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Solution

The fourth proportional to 143,178.71, 214,768.64 and 48,409.40 is: 72,614.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,178.71 : 214,768.64 = 48,409.40 : x
  2. Step 2: Convert to fraction form
    143,178.71/214,768.64 = 48,409.40/x
  3. Step 3: Cross multiply
    143,178.71x = 214,768.64 × 48,409.40
  4. Step 4: Simplify right side
    143,178.71x = 10,396,821,659.16
  5. Step 5: Solve for x
    x = 10,396,821,659.16/143,178.71
  6. Step 6: Final answer
    x = 72,614.30

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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.