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Finding the Fourth Proportional to 61,935.72, 85,471.32 and 33,642

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Solution

The fourth proportional to 61,935.72, 85,471.32 and 33,642 is: 46,425.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,935.72 : 85,471.32 = 33,642 : x
  2. Step 2: Convert to fraction form
    61,935.72/85,471.32 = 33,642/x
  3. Step 3: Cross multiply
    61,935.72x = 85,471.32 × 33,642
  4. Step 4: Simplify right side
    61,935.72x = 2,875,426,147.44
  5. Step 5: Solve for x
    x = 2,875,426,147.44/61,935.72
  6. Step 6: Final answer
    x = 46,425.97

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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.