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Finding the Fourth Proportional to 201,614.70, 302,422.05 and 103,310.70

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Solution

The fourth proportional to 201,614.70, 302,422.05 and 103,310.70 is: 154,966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,614.70 : 302,422.05 = 103,310.70 : x
  2. Step 2: Convert to fraction form
    201,614.70/302,422.05 = 103,310.70/x
  3. Step 3: Cross multiply
    201,614.70x = 302,422.05 × 103,310.70
  4. Step 4: Simplify right side
    201,614.70x = 31,243,433,680.94
  5. Step 5: Solve for x
    x = 31,243,433,680.94/201,614.70
  6. Step 6: Final answer
    x = 154,966.05

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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.