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Finding the Fourth Proportional to 83,657.60, 125,583.60 and 50,415.20

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Solution

The fourth proportional to 83,657.60, 125,583.60 and 50,415.20 is: 75,681.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,657.60 : 125,583.60 = 50,415.20 : x
  2. Step 2: Convert to fraction form
    83,657.60/125,583.60 = 50,415.20/x
  3. Step 3: Cross multiply
    83,657.60x = 125,583.60 × 50,415.20
  4. Step 4: Simplify right side
    83,657.60x = 6,331,322,310.72
  5. Step 5: Solve for x
    x = 6,331,322,310.72/83,657.60
  6. Step 6: Final answer
    x = 75,681.38

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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.