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Finding the Fourth Proportional to 85,486.84, 117,977.42 and 56,761.52

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Solution

The fourth proportional to 85,486.84, 117,977.42 and 56,761.52 is: 78,334.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,486.84 : 117,977.42 = 56,761.52 : x
  2. Step 2: Convert to fraction form
    85,486.84/117,977.42 = 56,761.52/x
  3. Step 3: Cross multiply
    85,486.84x = 117,977.42 × 56,761.52
  4. Step 4: Simplify right side
    85,486.84x = 6,696,578,121.73
  5. Step 5: Solve for x
    x = 6,696,578,121.73/85,486.84
  6. Step 6: Final answer
    x = 78,334.61

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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.