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Finding the Fourth Proportional to 78,034.96, 117,055.78 and 30,660.31

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Solution

The fourth proportional to 78,034.96, 117,055.78 and 30,660.31 is: 45,991.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,034.96 : 117,055.78 = 30,660.31 : x
  2. Step 2: Convert to fraction form
    78,034.96/117,055.78 = 30,660.31/x
  3. Step 3: Cross multiply
    78,034.96x = 117,055.78 × 30,660.31
  4. Step 4: Simplify right side
    78,034.96x = 3,588,966,502.09
  5. Step 5: Solve for x
    x = 3,588,966,502.09/78,034.96
  6. Step 6: Final answer
    x = 45,991.78

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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.