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Finding the Fourth Proportional to 83,639, 125,477.94 and 28,235

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Solution

The fourth proportional to 83,639, 125,477.94 and 28,235 is: 42,359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,639 : 125,477.94 = 28,235 : x
  2. Step 2: Convert to fraction form
    83,639/125,477.94 = 28,235/x
  3. Step 3: Cross multiply
    83,639x = 125,477.94 × 28,235
  4. Step 4: Simplify right side
    83,639x = 3,542,869,635.90
  5. Step 5: Solve for x
    x = 3,542,869,635.90/83,639
  6. Step 6: Final answer
    x = 42,359.06

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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.