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Finding the Fourth Proportional to 76,010.78, 114,016.14 and 20,606.78

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Solution

The fourth proportional to 76,010.78, 114,016.14 and 20,606.78 is: 30,910.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,010.78 : 114,016.14 = 20,606.78 : x
  2. Step 2: Convert to fraction form
    76,010.78/114,016.14 = 20,606.78/x
  3. Step 3: Cross multiply
    76,010.78x = 114,016.14 × 20,606.78
  4. Step 4: Simplify right side
    76,010.78x = 2,349,505,513.43
  5. Step 5: Solve for x
    x = 2,349,505,513.43/76,010.78
  6. Step 6: Final answer
    x = 30,910.16

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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.