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Finding the Fourth Proportional to 201,686.21, 302,526.57 and 68,659.20

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Solution

The fourth proportional to 201,686.21, 302,526.57 and 68,659.20 is: 102,987.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,686.21 : 302,526.57 = 68,659.20 : x
  2. Step 2: Convert to fraction form
    201,686.21/302,526.57 = 68,659.20/x
  3. Step 3: Cross multiply
    201,686.21x = 302,526.57 × 68,659.20
  4. Step 4: Simplify right side
    201,686.21x = 20,771,231,397.94
  5. Step 5: Solve for x
    x = 20,771,231,397.94/201,686.21
  6. Step 6: Final answer
    x = 102,987.86

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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.