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Finding the Fourth Proportional to 53,916, 74,404.08 and 31,560

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Solution

The fourth proportional to 53,916, 74,404.08 and 31,560 is: 43,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,916 : 74,404.08 = 31,560 : x
  2. Step 2: Convert to fraction form
    53,916/74,404.08 = 31,560/x
  3. Step 3: Cross multiply
    53,916x = 74,404.08 × 31,560
  4. Step 4: Simplify right side
    53,916x = 2,348,192,764.80
  5. Step 5: Solve for x
    x = 2,348,192,764.80/53,916
  6. Step 6: Final answer
    x = 43,552.80

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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.