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Finding the Fourth Proportional to 76,549.56, 114,842.78 and 75,278.60

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Solution

The fourth proportional to 76,549.56, 114,842.78 and 75,278.60 is: 112,936.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,549.56 : 114,842.78 = 75,278.60 : x
  2. Step 2: Convert to fraction form
    76,549.56/114,842.78 = 75,278.60/x
  3. Step 3: Cross multiply
    76,549.56x = 114,842.78 × 75,278.60
  4. Step 4: Simplify right side
    76,549.56x = 8,645,203,460.86
  5. Step 5: Solve for x
    x = 8,645,203,460.86/76,549.56
  6. Step 6: Final answer
    x = 112,936.04

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1.5x scale

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.