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Finding the Fourth Proportional to 77,710.92, 116,552.16 and 20,785.56

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Solution

The fourth proportional to 77,710.92, 116,552.16 and 20,785.56 is: 31,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,710.92 : 116,552.16 = 20,785.56 : x
  2. Step 2: Convert to fraction form
    77,710.92/116,552.16 = 20,785.56/x
  3. Step 3: Cross multiply
    77,710.92x = 116,552.16 × 20,785.56
  4. Step 4: Simplify right side
    77,710.92x = 2,422,601,914.81
  5. Step 5: Solve for x
    x = 2,422,601,914.81/77,710.92
  6. Step 6: Final answer
    x = 31,174.54

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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.