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Finding the Fourth Proportional to 83,477, 125,215.50 and 28,073

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Solution

The fourth proportional to 83,477, 125,215.50 and 28,073 is: 42,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,477 : 125,215.50 = 28,073 : x
  2. Step 2: Convert to fraction form
    83,477/125,215.50 = 28,073/x
  3. Step 3: Cross multiply
    83,477x = 125,215.50 × 28,073
  4. Step 4: Simplify right side
    83,477x = 3,515,174,731.50
  5. Step 5: Solve for x
    x = 3,515,174,731.50/83,477
  6. Step 6: Final answer
    x = 42,109.50

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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.