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Finding the Fourth Proportional to 53,896, 74,376.48 and 31,540

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Solution

The fourth proportional to 53,896, 74,376.48 and 31,540 is: 43,525.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,896 : 74,376.48 = 31,540 : x
  2. Step 2: Convert to fraction form
    53,896/74,376.48 = 31,540/x
  3. Step 3: Cross multiply
    53,896x = 74,376.48 × 31,540
  4. Step 4: Simplify right side
    53,896x = 2,345,834,179.20
  5. Step 5: Solve for x
    x = 2,345,834,179.20/53,896
  6. Step 6: Final answer
    x = 43,525.20

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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.