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Finding the Fourth Proportional to 53,400, 73,689.12 and 29,525.28

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Solution

The fourth proportional to 53,400, 73,689.12 and 29,525.28 is: 40,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,400 : 73,689.12 = 29,525.28 : x
  2. Step 2: Convert to fraction form
    53,400/73,689.12 = 29,525.28/x
  3. Step 3: Cross multiply
    53,400x = 73,689.12 × 29,525.28
  4. Step 4: Simplify right side
    53,400x = 2,175,691,900.95
  5. Step 5: Solve for x
    x = 2,175,691,900.95/53,400
  6. Step 6: Final answer
    x = 40,743.29

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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.