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Finding the Fourth Proportional to 201,880.80, 302,711.85 and 83,564.10

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Solution

The fourth proportional to 201,880.80, 302,711.85 and 83,564.10 is: 125,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,880.80 : 302,711.85 = 83,564.10 : x
  2. Step 2: Convert to fraction form
    201,880.80/302,711.85 = 83,564.10/x
  3. Step 3: Cross multiply
    201,880.80x = 302,711.85 × 83,564.10
  4. Step 4: Simplify right side
    201,880.80x = 25,295,843,304.59
  5. Step 5: Solve for x
    x = 25,295,843,304.59/201,880.80
  6. Step 6: Final answer
    x = 125,300.89

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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.