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Finding the Fourth Proportional to 61,823.71, 85,322.39 and 38,857.26

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Solution

The fourth proportional to 61,823.71, 85,322.39 and 38,857.26 is: 53,626.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,823.71 : 85,322.39 = 38,857.26 : x
  2. Step 2: Convert to fraction form
    61,823.71/85,322.39 = 38,857.26/x
  3. Step 3: Cross multiply
    61,823.71x = 85,322.39 × 38,857.26
  4. Step 4: Simplify right side
    61,823.71x = 3,315,394,417.72
  5. Step 5: Solve for x
    x = 3,315,394,417.72/61,823.71
  6. Step 6: Final answer
    x = 53,626.58

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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.