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Finding the Fourth Proportional to 145,396.05, 200,645.43 and 80,865.87

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Solution

The fourth proportional to 145,396.05, 200,645.43 and 80,865.87 is: 111,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,396.05 : 200,645.43 = 80,865.87 : x
  2. Step 2: Convert to fraction form
    145,396.05/200,645.43 = 80,865.87/x
  3. Step 3: Cross multiply
    145,396.05x = 200,645.43 × 80,865.87
  4. Step 4: Simplify right side
    145,396.05x = 16,225,367,258.47
  5. Step 5: Solve for x
    x = 16,225,367,258.47/145,396.05
  6. Step 6: Final answer
    x = 111,594.28

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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.