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Finding the Fourth Proportional to 219,042.88, 328,564.32 and 85,985.80

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Solution

The fourth proportional to 219,042.88, 328,564.32 and 85,985.80 is: 128,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,042.88 : 328,564.32 = 85,985.80 : x
  2. Step 2: Convert to fraction form
    219,042.88/328,564.32 = 85,985.80/x
  3. Step 3: Cross multiply
    219,042.88x = 328,564.32 × 85,985.80
  4. Step 4: Simplify right side
    219,042.88x = 28,251,865,906.66
  5. Step 5: Solve for x
    x = 28,251,865,906.66/219,042.88
  6. Step 6: Final answer
    x = 128,978.70

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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.