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Finding the Fourth Proportional to 205,852.80, 308,793.60 and 87,510.72

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Solution

The fourth proportional to 205,852.80, 308,793.60 and 87,510.72 is: 131,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,852.80 : 308,793.60 = 87,510.72 : x
  2. Step 2: Convert to fraction form
    205,852.80/308,793.60 = 87,510.72/x
  3. Step 3: Cross multiply
    205,852.80x = 308,793.60 × 87,510.72
  4. Step 4: Simplify right side
    205,852.80x = 27,022,750,267.39
  5. Step 5: Solve for x
    x = 27,022,750,267.39/205,852.80
  6. Step 6: Final answer
    x = 131,272.20

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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.