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Finding the Fourth Proportional to 83,311.65, 114,969.60 and 76,533.75

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Solution

The fourth proportional to 83,311.65, 114,969.60 and 76,533.75 is: 105,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,311.65 : 114,969.60 = 76,533.75 : x
  2. Step 2: Convert to fraction form
    83,311.65/114,969.60 = 76,533.75/x
  3. Step 3: Cross multiply
    83,311.65x = 114,969.60 × 76,533.75
  4. Step 4: Simplify right side
    83,311.65x = 8,799,054,624
  5. Step 5: Solve for x
    x = 8,799,054,624/83,311.65
  6. Step 6: Final answer
    x = 105,616.14

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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.