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Finding the Fourth Proportional to 117,784.28, 176,661.48 and 38,879.12

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Solution

The fourth proportional to 117,784.28, 176,661.48 and 38,879.12 is: 58,313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,784.28 : 176,661.48 = 38,879.12 : x
  2. Step 2: Convert to fraction form
    117,784.28/176,661.48 = 38,879.12/x
  3. Step 3: Cross multiply
    117,784.28x = 176,661.48 × 38,879.12
  4. Step 4: Simplify right side
    117,784.28x = 6,868,442,880.30
  5. Step 5: Solve for x
    x = 6,868,442,880.30/117,784.28
  6. Step 6: Final answer
    x = 58,313.75

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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.