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Finding the Fourth Proportional to 201,624.83, 302,438.09 and 81,684.11

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Solution

The fourth proportional to 201,624.83, 302,438.09 and 81,684.11 is: 122,526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,624.83 : 302,438.09 = 81,684.11 : x
  2. Step 2: Convert to fraction form
    201,624.83/302,438.09 = 81,684.11/x
  3. Step 3: Cross multiply
    201,624.83x = 302,438.09 × 81,684.11
  4. Step 4: Simplify right side
    201,624.83x = 24,704,387,172.06
  5. Step 5: Solve for x
    x = 24,704,387,172.06/201,624.83
  6. Step 6: Final answer
    x = 122,526.51

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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.