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Finding the Fourth Proportional to 143,073.36, 214,478.64 and 49,513.68

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Solution

The fourth proportional to 143,073.36, 214,478.64 and 49,513.68 is: 74,225.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,073.36 : 214,478.64 = 49,513.68 : x
  2. Step 2: Convert to fraction form
    143,073.36/214,478.64 = 49,513.68/x
  3. Step 3: Cross multiply
    143,073.36x = 214,478.64 × 49,513.68
  4. Step 4: Simplify right side
    143,073.36x = 10,619,626,747.80
  5. Step 5: Solve for x
    x = 10,619,626,747.80/143,073.36
  6. Step 6: Final answer
    x = 74,225.05

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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.