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Finding the Fourth Proportional to 82,137.60, 113,350 and 44,411.92

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Solution

The fourth proportional to 82,137.60, 113,350 and 44,411.92 is: 61,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,137.60 : 113,350 = 44,411.92 : x
  2. Step 2: Convert to fraction form
    82,137.60/113,350 = 44,411.92/x
  3. Step 3: Cross multiply
    82,137.60x = 113,350 × 44,411.92
  4. Step 4: Simplify right side
    82,137.60x = 5,034,091,132
  5. Step 5: Solve for x
    x = 5,034,091,132/82,137.60
  6. Step 6: Final answer
    x = 61,288.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.