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Finding the Fourth Proportional to 77,681.88, 116,525.39 and 21,522.55

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Solution

The fourth proportional to 77,681.88, 116,525.39 and 21,522.55 is: 32,284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,681.88 : 116,525.39 = 21,522.55 : x
  2. Step 2: Convert to fraction form
    77,681.88/116,525.39 = 21,522.55/x
  3. Step 3: Cross multiply
    77,681.88x = 116,525.39 × 21,522.55
  4. Step 4: Simplify right side
    77,681.88x = 2,507,923,532.54
  5. Step 5: Solve for x
    x = 2,507,923,532.54/77,681.88
  6. Step 6: Final answer
    x = 32,284.54

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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.