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Finding the Fourth Proportional to 76,533.75, 114,807.24 and 21,129.75

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Solution

The fourth proportional to 76,533.75, 114,807.24 and 21,129.75 is: 31,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,533.75 : 114,807.24 = 21,129.75 : x
  2. Step 2: Convert to fraction form
    76,533.75/114,807.24 = 21,129.75/x
  3. Step 3: Cross multiply
    76,533.75x = 114,807.24 × 21,129.75
  4. Step 4: Simplify right side
    76,533.75x = 2,425,848,279.39
  5. Step 5: Solve for x
    x = 2,425,848,279.39/76,533.75
  6. Step 6: Final answer
    x = 31,696.45

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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.