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Finding the Fourth Proportional to 201,913.50, 302,957.70 and 108,309.90

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Solution

The fourth proportional to 201,913.50, 302,957.70 and 108,309.90 is: 162,511.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,913.50 : 302,957.70 = 108,309.90 : x
  2. Step 2: Convert to fraction form
    201,913.50/302,957.70 = 108,309.90/x
  3. Step 3: Cross multiply
    201,913.50x = 302,957.70 × 108,309.90
  4. Step 4: Simplify right side
    201,913.50x = 32,813,318,191.23
  5. Step 5: Solve for x
    x = 32,813,318,191.23/201,913.50
  6. Step 6: Final answer
    x = 162,511.76

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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.