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Finding the Fourth Proportional to 76,388.82, 105,435.95 and 52,199.57

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Solution

The fourth proportional to 76,388.82, 105,435.95 and 52,199.57 is: 72,048.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,388.82 : 105,435.95 = 52,199.57 : x
  2. Step 2: Convert to fraction form
    76,388.82/105,435.95 = 52,199.57/x
  3. Step 3: Cross multiply
    76,388.82x = 105,435.95 × 52,199.57
  4. Step 4: Simplify right side
    76,388.82x = 5,503,711,255.13
  5. Step 5: Solve for x
    x = 5,503,711,255.13/76,388.82
  6. Step 6: Final answer
    x = 72,048.65

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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.