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Finding the Fourth Proportional to 53,857, 74,328.42 and 31,519.72

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Solution

The fourth proportional to 53,857, 74,328.42 and 31,519.72 is: 43,500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,857 : 74,328.42 = 31,519.72 : x
  2. Step 2: Convert to fraction form
    53,857/74,328.42 = 31,519.72/x
  3. Step 3: Cross multiply
    53,857x = 74,328.42 × 31,519.72
  4. Step 4: Simplify right side
    53,857x = 2,342,810,986.44
  5. Step 5: Solve for x
    x = 2,342,810,986.44/53,857
  6. Step 6: Final answer
    x = 43,500.58

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1.5x scale

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.