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Finding the Fourth Proportional to 53,973, 74,489.22 and 31,617

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Solution

The fourth proportional to 53,973, 74,489.22 and 31,617 is: 43,635.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,973 : 74,489.22 = 31,617 : x
  2. Step 2: Convert to fraction form
    53,973/74,489.22 = 31,617/x
  3. Step 3: Cross multiply
    53,973x = 74,489.22 × 31,617
  4. Step 4: Simplify right side
    53,973x = 2,355,125,668.74
  5. Step 5: Solve for x
    x = 2,355,125,668.74/53,973
  6. Step 6: Final answer
    x = 43,635.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.