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Finding the Fourth Proportional to 201,756.70, 302,519.85 and 83,287.90

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Solution

The fourth proportional to 201,756.70, 302,519.85 and 83,287.90 is: 124,884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,756.70 : 302,519.85 = 83,287.90 : x
  2. Step 2: Convert to fraction form
    201,756.70/302,519.85 = 83,287.90/x
  3. Step 3: Cross multiply
    201,756.70x = 302,519.85 × 83,287.90
  4. Step 4: Simplify right side
    201,756.70x = 25,196,243,014.82
  5. Step 5: Solve for x
    x = 25,196,243,014.82/201,756.70
  6. Step 6: Final answer
    x = 124,884.29

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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.