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Finding the Fourth Proportional to 201,821.80, 302,732.70 and 83,432.20

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Solution

The fourth proportional to 201,821.80, 302,732.70 and 83,432.20 is: 125,148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,821.80 : 302,732.70 = 83,432.20 : x
  2. Step 2: Convert to fraction form
    201,821.80/302,732.70 = 83,432.20/x
  3. Step 3: Cross multiply
    201,821.80x = 302,732.70 × 83,432.20
  4. Step 4: Simplify right side
    201,821.80x = 25,257,655,172.94
  5. Step 5: Solve for x
    x = 25,257,655,172.94/201,821.80
  6. Step 6: Final answer
    x = 125,148.30

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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.