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Finding the Fourth Proportional to 142,167.71, 213,067.49 and 57,829.97

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Solution

The fourth proportional to 142,167.71, 213,067.49 and 57,829.97 is: 86,670.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,167.71 : 213,067.49 = 57,829.97 : x
  2. Step 2: Convert to fraction form
    142,167.71/213,067.49 = 57,829.97/x
  3. Step 3: Cross multiply
    142,167.71x = 213,067.49 × 57,829.97
  4. Step 4: Simplify right side
    142,167.71x = 12,321,685,200.19
  5. Step 5: Solve for x
    x = 12,321,685,200.19/142,167.71
  6. Step 6: Final answer
    x = 86,670.07

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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.