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Finding the Fourth Proportional to 77,689.78, 116,537.39 and 21,525.37

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Solution

The fourth proportional to 77,689.78, 116,537.39 and 21,525.37 is: 32,288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,689.78 : 116,537.39 = 21,525.37 : x
  2. Step 2: Convert to fraction form
    77,689.78/116,537.39 = 21,525.37/x
  3. Step 3: Cross multiply
    77,689.78x = 116,537.39 × 21,525.37
  4. Step 4: Simplify right side
    77,689.78x = 2,508,510,438.58
  5. Step 5: Solve for x
    x = 2,508,510,438.58/77,689.78
  6. Step 6: Final answer
    x = 32,288.81

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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.