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Finding the Fourth Proportional to 77,100.36, 115,654.54 and 21,700.68

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Solution

The fourth proportional to 77,100.36, 115,654.54 and 21,700.68 is: 32,552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,100.36 : 115,654.54 = 21,700.68 : x
  2. Step 2: Convert to fraction form
    77,100.36/115,654.54 = 21,700.68/x
  3. Step 3: Cross multiply
    77,100.36x = 115,654.54 × 21,700.68
  4. Step 4: Simplify right side
    77,100.36x = 2,509,782,163.09
  5. Step 5: Solve for x
    x = 2,509,782,163.09/77,100.36
  6. Step 6: Final answer
    x = 32,552.15

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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.