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Finding the Fourth Proportional to 143,007.66, 214,567.92 and 54,284.71

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Solution

The fourth proportional to 143,007.66, 214,567.92 and 54,284.71 is: 81,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,007.66 : 214,567.92 = 54,284.71 : x
  2. Step 2: Convert to fraction form
    143,007.66/214,567.92 = 54,284.71/x
  3. Step 3: Cross multiply
    143,007.66x = 214,567.92 × 54,284.71
  4. Step 4: Simplify right side
    143,007.66x = 11,647,757,041.08
  5. Step 5: Solve for x
    x = 11,647,757,041.08/143,007.66
  6. Step 6: Final answer
    x = 81,448.49

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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.