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Finding the Fourth Proportional to 61,678.96, 85,107.74 and 36,175.70

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Solution

The fourth proportional to 61,678.96, 85,107.74 and 36,175.70 is: 49,917.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,678.96 : 85,107.74 = 36,175.70 : x
  2. Step 2: Convert to fraction form
    61,678.96/85,107.74 = 36,175.70/x
  3. Step 3: Cross multiply
    61,678.96x = 85,107.74 × 36,175.70
  4. Step 4: Simplify right side
    61,678.96x = 3,078,832,101.81
  5. Step 5: Solve for x
    x = 3,078,832,101.81/61,678.96
  6. Step 6: Final answer
    x = 49,917.06

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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.