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Finding the Fourth Proportional to 200,908.02, 301,149.60 and 72,738.84

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Solution

The fourth proportional to 200,908.02, 301,149.60 and 72,738.84 is: 109,031.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,908.02 : 301,149.60 = 72,738.84 : x
  2. Step 2: Convert to fraction form
    200,908.02/301,149.60 = 72,738.84/x
  3. Step 3: Cross multiply
    200,908.02x = 301,149.60 × 72,738.84
  4. Step 4: Simplify right side
    200,908.02x = 21,905,272,570.46
  5. Step 5: Solve for x
    x = 21,905,272,570.46/200,908.02
  6. Step 6: Final answer
    x = 109,031.35

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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.