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Finding the Fourth Proportional to 219,040.88, 328,561.32 and 85,983.80

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Solution

The fourth proportional to 219,040.88, 328,561.32 and 85,983.80 is: 128,975.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,040.88 : 328,561.32 = 85,983.80 : x
  2. Step 2: Convert to fraction form
    219,040.88/328,561.32 = 85,983.80/x
  3. Step 3: Cross multiply
    219,040.88x = 328,561.32 × 85,983.80
  4. Step 4: Simplify right side
    219,040.88x = 28,250,950,826.62
  5. Step 5: Solve for x
    x = 28,250,950,826.62/219,040.88
  6. Step 6: Final answer
    x = 128,975.70

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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.