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Finding the Fourth Proportional to 143,952.68, 214,451.61 and 137,475.77

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Solution

The fourth proportional to 143,952.68, 214,451.61 and 137,475.77 is: 204,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,952.68 : 214,451.61 = 137,475.77 : x
  2. Step 2: Convert to fraction form
    143,952.68/214,451.61 = 137,475.77/x
  3. Step 3: Cross multiply
    143,952.68x = 214,451.61 × 137,475.77
  4. Step 4: Simplify right side
    143,952.68x = 29,481,899,140.23
  5. Step 5: Solve for x
    x = 29,481,899,140.23/143,952.68
  6. Step 6: Final answer
    x = 204,802.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.