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Finding the Fourth Proportional to 205,320, 308,102.88 and 88,584

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Solution

The fourth proportional to 205,320, 308,102.88 and 88,584 is: 132,929.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,320 : 308,102.88 = 88,584 : x
  2. Step 2: Convert to fraction form
    205,320/308,102.88 = 88,584/x
  3. Step 3: Cross multiply
    205,320x = 308,102.88 × 88,584
  4. Step 4: Simplify right side
    205,320x = 27,292,985,521.92
  5. Step 5: Solve for x
    x = 27,292,985,521.92/205,320
  6. Step 6: Final answer
    x = 132,929.02

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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.