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Finding the Fourth Proportional to 53,895, 74,375.10 and 31,539

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Solution

The fourth proportional to 53,895, 74,375.10 and 31,539 is: 43,523.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,895 : 74,375.10 = 31,539 : x
  2. Step 2: Convert to fraction form
    53,895/74,375.10 = 31,539/x
  3. Step 3: Cross multiply
    53,895x = 74,375.10 × 31,539
  4. Step 4: Simplify right side
    53,895x = 2,345,716,278.90
  5. Step 5: Solve for x
    x = 2,345,716,278.90/53,895
  6. Step 6: Final answer
    x = 43,523.82

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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.