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Finding the Fourth Proportional to 219,825.38, 329,665.71 and 77,644.82

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Solution

The fourth proportional to 219,825.38, 329,665.71 and 77,644.82 is: 116,441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,825.38 : 329,665.71 = 77,644.82 : x
  2. Step 2: Convert to fraction form
    219,825.38/329,665.71 = 77,644.82/x
  3. Step 3: Cross multiply
    219,825.38x = 329,665.71 × 77,644.82
  4. Step 4: Simplify right side
    219,825.38x = 25,596,834,713.12
  5. Step 5: Solve for x
    x = 25,596,834,713.12/219,825.38
  6. Step 6: Final answer
    x = 116,441.67

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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.