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Finding the Fourth Proportional to 201,912, 302,955.48 and 108,308.40

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Solution

The fourth proportional to 201,912, 302,955.48 and 108,308.40 is: 162,509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,912 : 302,955.48 = 108,308.40 : x
  2. Step 2: Convert to fraction form
    201,912/302,955.48 = 108,308.40/x
  3. Step 3: Cross multiply
    201,912x = 302,955.48 × 108,308.40
  4. Step 4: Simplify right side
    201,912x = 32,812,623,310.03
  5. Step 5: Solve for x
    x = 32,812,623,310.03/201,912
  6. Step 6: Final answer
    x = 162,509.53

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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.