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Finding the Fourth Proportional to 53,782.32, 74,218 and 29,908.56

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Solution

The fourth proportional to 53,782.32, 74,218 and 29,908.56 is: 41,272.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,782.32 : 74,218 = 29,908.56 : x
  2. Step 2: Convert to fraction form
    53,782.32/74,218 = 29,908.56/x
  3. Step 3: Cross multiply
    53,782.32x = 74,218 × 29,908.56
  4. Step 4: Simplify right side
    53,782.32x = 2,219,753,506.08
  5. Step 5: Solve for x
    x = 2,219,753,506.08/53,782.32
  6. Step 6: Final answer
    x = 41,272.92

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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.