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Finding the Fourth Proportional to 77,809.64, 116,704.72 and 21,653.96

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Solution

The fourth proportional to 77,809.64, 116,704.72 and 21,653.96 is: 32,478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,809.64 : 116,704.72 = 21,653.96 : x
  2. Step 2: Convert to fraction form
    77,809.64/116,704.72 = 21,653.96/x
  3. Step 3: Cross multiply
    77,809.64x = 116,704.72 × 21,653.96
  4. Step 4: Simplify right side
    77,809.64x = 2,527,119,338.69
  5. Step 5: Solve for x
    x = 2,527,119,338.69/77,809.64
  6. Step 6: Final answer
    x = 32,478.23

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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.