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Finding the Fourth Proportional to 201,709.70, 302,564.55 and 103,405.70

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Solution

The fourth proportional to 201,709.70, 302,564.55 and 103,405.70 is: 155,108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,709.70 : 302,564.55 = 103,405.70 : x
  2. Step 2: Convert to fraction form
    201,709.70/302,564.55 = 103,405.70/x
  3. Step 3: Cross multiply
    201,709.70x = 302,564.55 × 103,405.70
  4. Step 4: Simplify right side
    201,709.70x = 31,286,899,087.94
  5. Step 5: Solve for x
    x = 31,286,899,087.94/201,709.70
  6. Step 6: Final answer
    x = 155,108.55

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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.