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Finding the Fourth Proportional to 201,719.70, 302,449.95 and 83,438.10

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Solution

The fourth proportional to 201,719.70, 302,449.95 and 83,438.10 is: 125,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,719.70 : 302,449.95 = 83,438.10 : x
  2. Step 2: Convert to fraction form
    201,719.70/302,449.95 = 83,438.10/x
  3. Step 3: Cross multiply
    201,719.70x = 302,449.95 × 83,438.10
  4. Step 4: Simplify right side
    201,719.70x = 25,235,849,173.10
  5. Step 5: Solve for x
    x = 25,235,849,173.10/201,719.70
  6. Step 6: Final answer
    x = 125,103.54

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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.