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Finding the Fourth Proportional to 92,128.87, 138,187.83 and 54,199.47

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Solution

The fourth proportional to 92,128.87, 138,187.83 and 54,199.47 is: 81,295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,128.87 : 138,187.83 = 54,199.47 : x
  2. Step 2: Convert to fraction form
    92,128.87/138,187.83 = 54,199.47/x
  3. Step 3: Cross multiply
    92,128.87x = 138,187.83 × 54,199.47
  4. Step 4: Simplify right side
    92,128.87x = 7,489,707,146.45
  5. Step 5: Solve for x
    x = 7,489,707,146.45/92,128.87
  6. Step 6: Final answer
    x = 81,295.99

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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.