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Finding the Fourth Proportional to 61,782.37, 85,268.78 and 39,123.43

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Solution

The fourth proportional to 61,782.37, 85,268.78 and 39,123.43 is: 53,996.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,782.37 : 85,268.78 = 39,123.43 : x
  2. Step 2: Convert to fraction form
    61,782.37/85,268.78 = 39,123.43/x
  3. Step 3: Cross multiply
    61,782.37x = 85,268.78 × 39,123.43
  4. Step 4: Simplify right side
    61,782.37x = 3,336,007,145.52
  5. Step 5: Solve for x
    x = 3,336,007,145.52/61,782.37
  6. Step 6: Final answer
    x = 53,996.10

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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.