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Finding the Fourth Proportional to 83,310.74, 114,886.91 and 76,395.57

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Solution

The fourth proportional to 83,310.74, 114,886.91 and 76,395.57 is: 105,350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,310.74 : 114,886.91 = 76,395.57 : x
  2. Step 2: Convert to fraction form
    83,310.74/114,886.91 = 76,395.57/x
  3. Step 3: Cross multiply
    83,310.74x = 114,886.91 × 76,395.57
  4. Step 4: Simplify right side
    83,310.74x = 8,776,850,974.99
  5. Step 5: Solve for x
    x = 8,776,850,974.99/83,310.74
  6. Step 6: Final answer
    x = 105,350.77

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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.