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Finding the Fourth Proportional to 204,002.70, 305,931.15 and 70,887.30

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Solution

The fourth proportional to 204,002.70, 305,931.15 and 70,887.30 is: 106,305.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,002.70 : 305,931.15 = 70,887.30 : x
  2. Step 2: Convert to fraction form
    204,002.70/305,931.15 = 70,887.30/x
  3. Step 3: Cross multiply
    204,002.70x = 305,931.15 × 70,887.30
  4. Step 4: Simplify right side
    204,002.70x = 21,686,633,209.40
  5. Step 5: Solve for x
    x = 21,686,633,209.40/204,002.70
  6. Step 6: Final answer
    x = 106,305.62

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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.