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Finding the Fourth Proportional to 78,475.70, 117,727.65 and 28,625.73

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Solution

The fourth proportional to 78,475.70, 117,727.65 and 28,625.73 is: 42,943.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,475.70 : 117,727.65 = 28,625.73 : x
  2. Step 2: Convert to fraction form
    78,475.70/117,727.65 = 28,625.73/x
  3. Step 3: Cross multiply
    78,475.70x = 117,727.65 × 28,625.73
  4. Step 4: Simplify right side
    78,475.70x = 3,370,039,922.43
  5. Step 5: Solve for x
    x = 3,370,039,922.43/78,475.70
  6. Step 6: Final answer
    x = 42,943.74

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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.