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Finding the Fourth Proportional to 78,333.71, 117,717.44 and 76,434.66

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Solution

The fourth proportional to 78,333.71, 117,717.44 and 76,434.66 is: 114,863.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,333.71 : 117,717.44 = 76,434.66 : x
  2. Step 2: Convert to fraction form
    78,333.71/117,717.44 = 76,434.66/x
  3. Step 3: Cross multiply
    78,333.71x = 117,717.44 × 76,434.66
  4. Step 4: Simplify right side
    78,333.71x = 8,997,692,120.30
  5. Step 5: Solve for x
    x = 8,997,692,120.30/78,333.71
  6. Step 6: Final answer
    x = 114,863.61

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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.