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Finding the Fourth Proportional to 77,910.74, 116,885.82 and 21,750.81

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Solution

The fourth proportional to 77,910.74, 116,885.82 and 21,750.81 is: 32,631.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,910.74 : 116,885.82 = 21,750.81 : x
  2. Step 2: Convert to fraction form
    77,910.74/116,885.82 = 21,750.81/x
  3. Step 3: Cross multiply
    77,910.74x = 116,885.82 × 21,750.81
  4. Step 4: Simplify right side
    77,910.74x = 2,542,361,262.51
  5. Step 5: Solve for x
    x = 2,542,361,262.51/77,910.74
  6. Step 6: Final answer
    x = 32,631.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.