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Finding the Fourth Proportional to 200,865.62, 301,139.91 and 99,593.85

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Solution

The fourth proportional to 200,865.62, 301,139.91 and 99,593.85 is: 149,312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,865.62 : 301,139.91 = 99,593.85 : x
  2. Step 2: Convert to fraction form
    200,865.62/301,139.91 = 99,593.85/x
  3. Step 3: Cross multiply
    200,865.62x = 301,139.91 × 99,593.85
  4. Step 4: Simplify right side
    200,865.62x = 29,991,683,025.55
  5. Step 5: Solve for x
    x = 29,991,683,025.55/200,865.62
  6. Step 6: Final answer
    x = 149,312.18

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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.