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Finding the Fourth Proportional to 53,780.68, 74,216.82 and 29,906.20

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Solution

The fourth proportional to 53,780.68, 74,216.82 and 29,906.20 is: 41,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,780.68 : 74,216.82 = 29,906.20 : x
  2. Step 2: Convert to fraction form
    53,780.68/74,216.82 = 29,906.20/x
  3. Step 3: Cross multiply
    53,780.68x = 74,216.82 × 29,906.20
  4. Step 4: Simplify right side
    53,780.68x = 2,219,543,062.28
  5. Step 5: Solve for x
    x = 2,219,543,062.28/53,780.68
  6. Step 6: Final answer
    x = 41,270.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.