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Finding the Fourth Proportional to 76,830.66, 105,976.35 and 54,202.50

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Solution

The fourth proportional to 76,830.66, 105,976.35 and 54,202.50 is: 74,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,830.66 : 105,976.35 = 54,202.50 : x
  2. Step 2: Convert to fraction form
    76,830.66/105,976.35 = 54,202.50/x
  3. Step 3: Cross multiply
    76,830.66x = 105,976.35 × 54,202.50
  4. Step 4: Simplify right side
    76,830.66x = 5,744,183,110.88
  5. Step 5: Solve for x
    x = 5,744,183,110.88/76,830.66
  6. Step 6: Final answer
    x = 74,764.20

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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.