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Finding the Fourth Proportional to 201,638.70, 302,328.45 and 83,357.10

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Solution

The fourth proportional to 201,638.70, 302,328.45 and 83,357.10 is: 124,982.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,638.70 : 302,328.45 = 83,357.10 : x
  2. Step 2: Convert to fraction form
    201,638.70/302,328.45 = 83,357.10/x
  3. Step 3: Cross multiply
    201,638.70x = 302,328.45 × 83,357.10
  4. Step 4: Simplify right side
    201,638.70x = 25,201,222,839.50
  5. Step 5: Solve for x
    x = 25,201,222,839.50/201,638.70
  6. Step 6: Final answer
    x = 124,982.07

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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.