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Finding the Fourth Proportional to 219,073.64, 328,469.11 and 85,967.35

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Solution

The fourth proportional to 219,073.64, 328,469.11 and 85,967.35 is: 128,895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,073.64 : 328,469.11 = 85,967.35 : x
  2. Step 2: Convert to fraction form
    219,073.64/328,469.11 = 85,967.35/x
  3. Step 3: Cross multiply
    219,073.64x = 328,469.11 × 85,967.35
  4. Step 4: Simplify right side
    219,073.64x = 28,237,617,907.47
  5. Step 5: Solve for x
    x = 28,237,617,907.47/219,073.64
  6. Step 6: Final answer
    x = 128,895.56

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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.