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Finding the Fourth Proportional to 201,708.20, 302,562.30 and 103,404.20

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Solution

The fourth proportional to 201,708.20, 302,562.30 and 103,404.20 is: 155,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,708.20 : 302,562.30 = 103,404.20 : x
  2. Step 2: Convert to fraction form
    201,708.20/302,562.30 = 103,404.20/x
  3. Step 3: Cross multiply
    201,708.20x = 302,562.30 × 103,404.20
  4. Step 4: Simplify right side
    201,708.20x = 31,286,212,581.66
  5. Step 5: Solve for x
    x = 31,286,212,581.66/201,708.20
  6. Step 6: Final answer
    x = 155,106.30

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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.