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Finding the Fourth Proportional to 83,784, 125,698.68 and 28,380

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Solution

The fourth proportional to 83,784, 125,698.68 and 28,380 is: 42,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,784 : 125,698.68 = 28,380 : x
  2. Step 2: Convert to fraction form
    83,784/125,698.68 = 28,380/x
  3. Step 3: Cross multiply
    83,784x = 125,698.68 × 28,380
  4. Step 4: Simplify right side
    83,784x = 3,567,328,538.40
  5. Step 5: Solve for x
    x = 3,567,328,538.40/83,784
  6. Step 6: Final answer
    x = 42,577.68

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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.