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Finding the Fourth Proportional to 53,978.91, 74,491.23 and 31,331.43

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Solution

The fourth proportional to 53,978.91, 74,491.23 and 31,331.43 is: 43,237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,978.91 : 74,491.23 = 31,331.43 : x
  2. Step 2: Convert to fraction form
    53,978.91/74,491.23 = 31,331.43/x
  3. Step 3: Cross multiply
    53,978.91x = 74,491.23 × 31,331.43
  4. Step 4: Simplify right side
    53,978.91x = 2,333,916,758.36
  5. Step 5: Solve for x
    x = 2,333,916,758.36/53,978.91
  6. Step 6: Final answer
    x = 43,237.57

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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.