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Finding the Fourth Proportional to 77,480.81, 116,111.34 and 32,453.64

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Solution

The fourth proportional to 77,480.81, 116,111.34 and 32,453.64 is: 48,634.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,480.81 : 116,111.34 = 32,453.64 : x
  2. Step 2: Convert to fraction form
    77,480.81/116,111.34 = 32,453.64/x
  3. Step 3: Cross multiply
    77,480.81x = 116,111.34 × 32,453.64
  4. Step 4: Simplify right side
    77,480.81x = 3,768,235,628.28
  5. Step 5: Solve for x
    x = 3,768,235,628.28/77,480.81
  6. Step 6: Final answer
    x = 48,634.44

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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.