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Finding the Fourth Proportional to 219,171.72, 328,776.30 and 77,004.57

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Solution

The fourth proportional to 219,171.72, 328,776.30 and 77,004.57 is: 115,513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,171.72 : 328,776.30 = 77,004.57 : x
  2. Step 2: Convert to fraction form
    219,171.72/328,776.30 = 77,004.57/x
  3. Step 3: Cross multiply
    219,171.72x = 328,776.30 × 77,004.57
  4. Step 4: Simplify right side
    219,171.72x = 25,317,277,607.69
  5. Step 5: Solve for x
    x = 25,317,277,607.69/219,171.72
  6. Step 6: Final answer
    x = 115,513.43

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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.