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Finding the Fourth Proportional to 77,081.65, 115,399.67 and 47,409.52

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Solution

The fourth proportional to 77,081.65, 115,399.67 and 47,409.52 is: 70,977.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,081.65 : 115,399.67 = 47,409.52 : x
  2. Step 2: Convert to fraction form
    77,081.65/115,399.67 = 47,409.52/x
  3. Step 3: Cross multiply
    77,081.65x = 115,399.67 × 47,409.52
  4. Step 4: Simplify right side
    77,081.65x = 5,471,042,962.86
  5. Step 5: Solve for x
    x = 5,471,042,962.86/77,081.65
  6. Step 6: Final answer
    x = 70,977.24

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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.