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Finding the Fourth Proportional to 201,880.30, 302,820.45 and 68,716.30

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Solution

The fourth proportional to 201,880.30, 302,820.45 and 68,716.30 is: 103,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,880.30 : 302,820.45 = 68,716.30 : x
  2. Step 2: Convert to fraction form
    201,880.30/302,820.45 = 68,716.30/x
  3. Step 3: Cross multiply
    201,880.30x = 302,820.45 × 68,716.30
  4. Step 4: Simplify right side
    201,880.30x = 20,808,700,888.34
  5. Step 5: Solve for x
    x = 20,808,700,888.34/201,880.30
  6. Step 6: Final answer
    x = 103,074.45

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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.