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Finding the Fourth Proportional to 205,901.70, 308,852.55 and 72,780.90

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Solution

The fourth proportional to 205,901.70, 308,852.55 and 72,780.90 is: 109,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,901.70 : 308,852.55 = 72,780.90 : x
  2. Step 2: Convert to fraction form
    205,901.70/308,852.55 = 72,780.90/x
  3. Step 3: Cross multiply
    205,901.70x = 308,852.55 × 72,780.90
  4. Step 4: Simplify right side
    205,901.70x = 22,478,566,556.30
  5. Step 5: Solve for x
    x = 22,478,566,556.30/205,901.70
  6. Step 6: Final answer
    x = 109,171.35

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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.