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Finding the Fourth Proportional to 205,280.76, 283,276.62 and 115,851

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Solution

The fourth proportional to 205,280.76, 283,276.62 and 115,851 is: 159,868.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,280.76 : 283,276.62 = 115,851 : x
  2. Step 2: Convert to fraction form
    205,280.76/283,276.62 = 115,851/x
  3. Step 3: Cross multiply
    205,280.76x = 283,276.62 × 115,851
  4. Step 4: Simplify right side
    205,280.76x = 32,817,879,703.62
  5. Step 5: Solve for x
    x = 32,817,879,703.62/205,280.76
  6. Step 6: Final answer
    x = 159,868.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.