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Finding the Fourth Proportional to 77,708.54, 116,562.83 and 21,562.79

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Solution

The fourth proportional to 77,708.54, 116,562.83 and 21,562.79 is: 32,344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,708.54 : 116,562.83 = 21,562.79 : x
  2. Step 2: Convert to fraction form
    77,708.54/116,562.83 = 21,562.79/x
  3. Step 3: Cross multiply
    77,708.54x = 116,562.83 × 21,562.79
  4. Step 4: Simplify right side
    77,708.54x = 2,513,419,134.47
  5. Step 5: Solve for x
    x = 2,513,419,134.47/77,708.54
  6. Step 6: Final answer
    x = 32,344.18

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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.