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Finding the Fourth Proportional to 219,013.78, 328,556.16 and 85,821.82

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Solution

The fourth proportional to 219,013.78, 328,556.16 and 85,821.82 is: 128,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,013.78 : 328,556.16 = 85,821.82 : x
  2. Step 2: Convert to fraction form
    219,013.78/328,556.16 = 85,821.82/x
  3. Step 3: Cross multiply
    219,013.78x = 328,556.16 × 85,821.82
  4. Step 4: Simplify right side
    219,013.78x = 28,197,287,623.41
  5. Step 5: Solve for x
    x = 28,197,287,623.41/219,013.78
  6. Step 6: Final answer
    x = 128,746.64

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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.