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Finding the Fourth Proportional to 76,454.79, 114,719.77 and 34,364.60

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Solution

The fourth proportional to 76,454.79, 114,719.77 and 34,364.60 is: 51,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,454.79 : 114,719.77 = 34,364.60 : x
  2. Step 2: Convert to fraction form
    76,454.79/114,719.77 = 34,364.60/x
  3. Step 3: Cross multiply
    76,454.79x = 114,719.77 × 34,364.60
  4. Step 4: Simplify right side
    76,454.79x = 3,942,299,456.35
  5. Step 5: Solve for x
    x = 3,942,299,456.35/76,454.79
  6. Step 6: Final answer
    x = 51,563.80

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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.