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Finding the Fourth Proportional to 145,112.94, 200,244.87 and 81,438.44

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Solution

The fourth proportional to 145,112.94, 200,244.87 and 81,438.44 is: 112,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,112.94 : 200,244.87 = 81,438.44 : x
  2. Step 2: Convert to fraction form
    145,112.94/200,244.87 = 81,438.44/x
  3. Step 3: Cross multiply
    145,112.94x = 200,244.87 × 81,438.44
  4. Step 4: Simplify right side
    145,112.94x = 16,307,629,830.80
  5. Step 5: Solve for x
    x = 16,307,629,830.80/145,112.94
  6. Step 6: Final answer
    x = 112,378.88

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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.