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Finding the Fourth Proportional to 61,931, 85,465.20 and 33,636.68

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Solution

The fourth proportional to 61,931, 85,465.20 and 33,636.68 is: 46,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,931 : 85,465.20 = 33,636.68 : x
  2. Step 2: Convert to fraction form
    61,931/85,465.20 = 33,636.68/x
  3. Step 3: Cross multiply
    61,931x = 85,465.20 × 33,636.68
  4. Step 4: Simplify right side
    61,931x = 2,874,765,583.54
  5. Step 5: Solve for x
    x = 2,874,765,583.54/61,931
  6. Step 6: Final answer
    x = 46,418.85

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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.